Local existence for quasilinear parabolic systems under nonlinear boundary conditions

Mariano Giaquinta; Giuseppe Modica

doi:10.1007/bf01773924

Local existence for quasilinear parabolic systems under nonlinear boundary conditions

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01773924 ◽

1987 ◽

Vol 149 (1) ◽

pp. 41-59 ◽

Cited By ~ 18

Author(s):

Mariano Giaquinta ◽

Giuseppe Modica

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Local Existence ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Quasilinear Parabolic Systems with Nonlinear Boundary Conditions

Journal of Differential Equations ◽

10.1006/jdeq.2000.3784 ◽

2000 ◽

Vol 166 (2) ◽

pp. 251-265 ◽

Cited By ~ 16

Author(s):

Shu Wang ◽

Mingxin Wang ◽

Chunhong Xie

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Periodic solutions of quasilinear parabolic systems with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2009.12.026 ◽

2010 ◽

Vol 72 (7-8) ◽

pp. 3429-3435 ◽

Cited By ~ 7

Author(s):

Qunying Zhang ◽

Zhigui Lin

Keyword(s):

Boundary Conditions ◽

Periodic Solutions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Quasilinear parabolic systems under nonlinear boundary conditions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00251255 ◽

1986 ◽

Vol 92 (2) ◽

pp. 153-192 ◽

Cited By ~ 76

Author(s):

Herbert Amann

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions

Discrete and Continuous Dynamical Systems - Series B ◽

10.3934/dcdsb.2008.9.595 ◽

2008 ◽

Vol 9 (3/4, May) ◽

pp. 595-633 ◽

Cited By ~ 9

Author(s):

Ronald Schnaubelt ◽

Jan Prüss ◽

Yuri Latushkin

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Center Manifolds ◽

Fully Nonlinear ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions

Journal of Evolution Equations ◽

10.1007/s00028-006-0272-9 ◽

2006 ◽

Vol 6 (4) ◽

pp. 537-576 ◽

Cited By ~ 22

Author(s):

Yuri Latushkin ◽

Jan Prüss ◽

Roland Schnaubelt

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Stable And Unstable Manifolds ◽

Fully Nonlinear ◽

Quasilinear Parabolic Systems ◽

Unstable Manifolds ◽

Quasilinear Parabolic

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Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.10.005 ◽

2007 ◽

Vol 333 (1) ◽

pp. 472-499 ◽

Cited By ~ 39

Author(s):

C.V. Pao ◽

W.H. Ruan

Keyword(s):

Boundary Conditions ◽

Positive Solutions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Systems ◽

Quasilinear Parabolic

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Doubly Nonlinear Degenerate Parabolic Systems with Coupled Nonlinear Boundary Conditions

Journal of Differential Equations ◽

10.1006/jdeq.2001.4101 ◽

2002 ◽

Vol 182 (2) ◽

pp. 431-469 ◽

Cited By ~ 13

Author(s):

Shu Wang

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Doubly Nonlinear ◽

Degenerate Parabolic Systems ◽

Degenerate Parabolic ◽

Nonlinear Degenerate

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Quasilinear parabolic and elliptic equations with nonlinear boundary conditions

Nonlinear Analysis ◽

10.1016/j.na.2005.12.007 ◽

2007 ◽

Vol 66 (3) ◽

pp. 639-662 ◽

Cited By ~ 26

Author(s):

C.V. Pao

Keyword(s):

Boundary Conditions ◽

Elliptic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic

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Quasilinear parabolic equations with nonlinear boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(99)00363-5 ◽

2000 ◽

Vol 126 (1-2) ◽

pp. 339-349

Author(s):

Chin-Yuan Lin

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

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Semilinear Parabolic Systems Under Nonlinear Boundary Conditions

Dynamics of Infinite Dimensional Systems ◽

10.1007/978-3-642-86458-2_1 ◽

1987 ◽

pp. 1-6

Author(s):

Herbert Amann

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Semilinear Parabolic Systems ◽

Semilinear Parabolic

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