Elliptic partial differential equation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Elliptic partial differential equation" in English language version.

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Evans 2010, Chapter 6. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943.
Compare Evans (2010, p. 311) and Gilbarg & Trudinger (2001, pp. 31, 441). Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
Gilbarg & Trudinger 2001, Chapter 17. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
John 1982, Chapter 6; Ladyzhenskaya 1985, Section V.1; Renardy & Rogers 2004, Section 9.1. John, Fritz (1982). Partial differential equations. Applied Mathematical Sciences. Vol. 1 (Fourth edition of 1971 original ed.). New York: Springer-Verlag. doi:10.1007/978-1-4684-0059-5. ISBN 0-387-90609-6. MR 0831655. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.
Agmon 2010; Morrey 1966. Agmon, Shmuel (2010). Lectures on elliptic boundary value problems (Revised edition of 1965 original ed.). Providence, RI: AMS Chelsea Publishing. doi:10.1090/chel/369. ISBN 978-0-8218-4910-1. MR 2589244. Morrey, Charles B., Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. MR 0202511.{{cite book}}: CS1 maint: multiple names: authors list (link)
Crandall, Ishii & Lions 1992; Evans 2010, Chapter 6; Gilbarg & Trudinger 2001, Chapters 8 and 9; Ladyzhenskaya 1985, Sections II.2 and V.1; Renardy & Rogers 2004, Chapter 9. Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis (1992). "User's guide to viscosity solutions of second order partial differential equations". Bulletin of the American Mathematical Society. New Series. 27 (1): 1–67. arXiv:math/9207212. doi:10.1090/S0273-0979-1992-00266-5. MR 1118699. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.
Giaquinta 1983; Morrey 1966, pp. 8, 480. Giaquinta, Mariano (1983). Multiple integrals in the calculus of variations and nonlinear elliptic systems. Annals of Mathematics Studies. Vol. 105. Princeton, NJ: Princeton University Press. ISBN 0-691-08330-4. MR 0717034. Morrey, Charles B., Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. MR 0202511.{{cite book}}: CS1 maint: multiple names: authors list (link)
Spivak 1979. Spivak, Michael (1979). A comprehensive introduction to differential geometry. Volume V (Second edition of 1975 original ed.). Wilmington, DE: Publish or Perish, Inc. ISBN 0-914098-83-7. MR 0532834.
Hörmander 1990, p. 152. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.
Hörmander 1990, p. 256. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.
Hörmander 1990, Theorem 8.3.1. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.
Hörmander 1990, Corollary 8.3.2. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.

arxiv.org

Crandall, Ishii & Lions 1992; Evans 2010, Chapter 6; Gilbarg & Trudinger 2001, Chapters 8 and 9; Ladyzhenskaya 1985, Sections II.2 and V.1; Renardy & Rogers 2004, Chapter 9. Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis (1992). "User's guide to viscosity solutions of second order partial differential equations". Bulletin of the American Mathematical Society. New Series. 27 (1): 1–67. arXiv:math/9207212. doi:10.1090/S0273-0979-1992-00266-5. MR 1118699. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.

doi.org

Evans 2010, Chapter 6. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943.
Compare Evans (2010, p. 311) and Gilbarg & Trudinger (2001, pp. 31, 441). Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
Gilbarg & Trudinger 2001, Chapter 17. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
John 1982, Chapter 6; Ladyzhenskaya 1985, Section V.1; Renardy & Rogers 2004, Section 9.1. John, Fritz (1982). Partial differential equations. Applied Mathematical Sciences. Vol. 1 (Fourth edition of 1971 original ed.). New York: Springer-Verlag. doi:10.1007/978-1-4684-0059-5. ISBN 0-387-90609-6. MR 0831655. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.
Agmon 2010; Morrey 1966. Agmon, Shmuel (2010). Lectures on elliptic boundary value problems (Revised edition of 1965 original ed.). Providence, RI: AMS Chelsea Publishing. doi:10.1090/chel/369. ISBN 978-0-8218-4910-1. MR 2589244. Morrey, Charles B., Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. MR 0202511.{{cite book}}: CS1 maint: multiple names: authors list (link)
Crandall, Ishii & Lions 1992; Evans 2010, Chapter 6; Gilbarg & Trudinger 2001, Chapters 8 and 9; Ladyzhenskaya 1985, Sections II.2 and V.1; Renardy & Rogers 2004, Chapter 9. Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis (1992). "User's guide to viscosity solutions of second order partial differential equations". Bulletin of the American Mathematical Society. New Series. 27 (1): 1–67. arXiv:math/9207212. doi:10.1090/S0273-0979-1992-00266-5. MR 1118699. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.
Giaquinta 1983; Morrey 1966, pp. 8, 480. Giaquinta, Mariano (1983). Multiple integrals in the calculus of variations and nonlinear elliptic systems. Annals of Mathematics Studies. Vol. 105. Princeton, NJ: Princeton University Press. ISBN 0-691-08330-4. MR 0717034. Morrey, Charles B., Jr. (1966). Multiple integrals in the calculus of variations. Die Grundlehren der mathematischen Wissenschaften. Vol. 130. New York: Springer-Verlag. doi:10.1007/978-3-540-69952-1. MR 0202511.{{cite book}}: CS1 maint: multiple names: authors list (link)
Hörmander 1990, p. 152. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.
Hörmander 1990, p. 256. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.
Hörmander 1990, Theorem 8.3.1. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.
Hörmander 1990, Corollary 8.3.2. Hörmander, Lars (1990). The analysis of linear partial differential operators. I. Distribution theory and Fourier analysis. Grundlehren der mathematischen Wissenschaften. Vol. 256 (Second edition of 1985 original ed.). Springer-Verlag. doi:10.1007/978-3-642-61497-2. ISBN 3-540-52345-6. MR 1065993.

math24.wordpress.com

Evans 2010, Chapter 6. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943.
Compare Evans (2010, p. 311) and Gilbarg & Trudinger (2001, pp. 31, 441). Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
Crandall, Ishii & Lions 1992; Evans 2010, Chapter 6; Gilbarg & Trudinger 2001, Chapters 8 and 9; Ladyzhenskaya 1985, Sections II.2 and V.1; Renardy & Rogers 2004, Chapter 9. Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis (1992). "User's guide to viscosity solutions of second order partial differential equations". Bulletin of the American Mathematical Society. New Series. 27 (1): 1–67. arXiv:math/9207212. doi:10.1090/S0273-0979-1992-00266-5. MR 1118699. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.

zbmath.org

Compare Evans (2010, p. 311) and Gilbarg & Trudinger (2001, pp. 31, 441). Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
Gilbarg & Trudinger 2001, Chapter 17. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002.
Crandall, Ishii & Lions 1992; Evans 2010, Chapter 6; Gilbarg & Trudinger 2001, Chapters 8 and 9; Ladyzhenskaya 1985, Sections II.2 and V.1; Renardy & Rogers 2004, Chapter 9. Crandall, Michael G.; Ishii, Hitoshi; Lions, Pierre-Louis (1992). "User's guide to viscosity solutions of second order partial differential equations". Bulletin of the American Mathematical Society. New Series. 27 (1): 1–67. arXiv:math/9207212. doi:10.1090/S0273-0979-1992-00266-5. MR 1118699. Evans, Lawrence C. (2010). Partial differential equations (PDF). Graduate Studies in Mathematics. Vol. 19 (Second edition of 1998 original ed.). Providence, RI: American Mathematical Society. doi:10.1090/gsm/019. ISBN 978-0-8218-4974-3. MR 2597943. Gilbarg, David; Trudinger, Neil S. (2001). Elliptic partial differential equations of second order. Classics in Mathematics (Revised second edition of the 1977 original ed.). Berlin: Springer-Verlag. doi:10.1007/978-3-642-61798-0. ISBN 3-540-41160-7. MR 1814364. Zbl 1042.35002. Ladyzhenskaya, O. A. (1985). The boundary value problems of mathematical physics. Applied Mathematical Sciences. Vol. 49. New York: Springer-Verlag. doi:10.1007/978-1-4757-4317-3. ISBN 0-387-90989-3. MR 0793735. Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics. Vol. 13 (Second edition of 1993 original ed.). New York: Springer-Verlag. doi:10.1007/b97427. ISBN 0-387-00444-0. MR 2028503.