Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions

Joachim Escher

doi:10.1007/bf01442877

Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions

Mathematische Annalen ◽

10.1007/bf01442877 ◽

1989 ◽

Vol 284 (2) ◽

pp. 285-305 ◽

Cited By ~ 36

Author(s):

Joachim Escher

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Semilinear Parabolic Systems ◽

Existence And Nonexistence ◽

Semilinear 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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Blow-up rates for semilinear parabolic systems with nonlinear boundary conditions

Applied Mathematics Letters ◽

10.1016/s0893-9659(03)00034-x ◽

2003 ◽

Vol 16 (4) ◽

pp. 543-549 ◽

Cited By ~ 10

Author(s):

Mingxin Wang

Keyword(s):

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions ◽

Semilinear Parabolic Systems ◽

Semilinear Parabolic

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Global Existence and Nonexistence for a Strongly Coupled Parabolic System with Nonlinear Boundary Conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-005-0654-x ◽

2005 ◽

Vol 22 (5) ◽

pp. 1297-1304

Author(s):

You Peng Chen ◽

Chun Hong Xie

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Parabolic System ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Strongly Coupled ◽

Existence And Nonexistence

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Global existence and nonexistence of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions

Applicable Analysis ◽

10.1080/00036811.2010.495337 ◽

2010 ◽

Vol 89 (12) ◽

pp. 1789-1803 ◽

Cited By ~ 1

Author(s):

Yongsheng Mi ◽

Chunlai Mu ◽

Zhongping Li

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Existence And Nonexistence

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Global existence and nonexistence for a multidimensional system of parabolic equations with nonlinear boundary conditions

10.1063/5.0057139 ◽

2021 ◽

Author(s):

Zafar Rakhmonov ◽

Roman Parovik ◽

Akram Alimov

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Multidimensional System ◽

System Of Parabolic Equations ◽

Existence And Nonexistence

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Global existence and nonexistence for diffusive polytropic filtration equations with nonlinear boundary conditions

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-009-0028-9 ◽

2009 ◽

Vol 61 (3) ◽

pp. 467-478 ◽

Cited By ~ 4

Author(s):

Zhaoyin Xiang

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Existence And Nonexistence

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Global Existence and Blow–up of Solutions for Parabolic Systems Involving Cross–Diffusions and Nonlinear Boundary Conditions

Acta Mathematica Sinica English Series ◽

10.1007/s10114-004-0439-7 ◽

2004 ◽

Vol 21 (4) ◽

pp. 923-928 ◽

Cited By ~ 1

Author(s):

Xiu Hui Yang ◽

Fu Cai Li ◽

Chun Hong Xie

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Parabolic Systems ◽

Nonlinear Boundary Conditions

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Blow-up and global existence for semilinear parabolic systems with space-time forcing terms

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2021.110982 ◽

2021 ◽

Vol 147 ◽

pp. 110982

Author(s):

Ahmad Z. Fino ◽

Mohamed Jleli ◽

Bessem Samet

Keyword(s):

Global Existence ◽

Blow Up ◽

Parabolic Systems ◽

Space Time ◽

Semilinear Parabolic Systems ◽

Semilinear Parabolic

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Global existence, asymptotic behavior and self-similar solutions for a class of semilinear parabolic systems

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00170-x ◽

2002 ◽

Vol 48 (1) ◽

pp. 13-35 ◽

Cited By ~ 14

Author(s):

Seifeddine Snoussi ◽

Slim Tayachi

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Parabolic Systems ◽

Semilinear Parabolic Systems ◽

Self Similar ◽

Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/090748706 ◽

2010 ◽

Vol 47 (6) ◽

pp. 4581-4606 ◽

Cited By ~ 10

Author(s):

C. V. Pao ◽

Xin Lu

Keyword(s):

Iterative Method ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Nonlinear Boundary Conditions ◽

Monotone Iterative Method ◽

Semilinear Parabolic Equations ◽

Monotone Iterative ◽

Semilinear Parabolic

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