Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions

Mingxin Wang; Yonghui Wu

doi:10.1137/0524085

Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions

SIAM Journal on Mathematical Analysis ◽

10.1137/0524085 ◽

1993 ◽

Vol 24 (6) ◽

pp. 1515-1521 ◽

Cited By ~ 45

Author(s):

Mingxin Wang ◽

Yonghui Wu

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

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Blow-up of solutions for a class of quasilinear parabolic equations with nonlinear Boundary conditions

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2012.10700810 ◽

2012 ◽

Vol 15 (6) ◽

pp. 439-448 ◽

Cited By ~ 1

Author(s):

Jun Ping Zhao ◽

Lan Fang Wang

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Equations ◽

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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Global existence and blow-up of solutions for parabolic equations involving the Laplacian under nonlinear boundary conditions.

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-2103-11 ◽

2021 ◽

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions

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Global existence and blow-up analysis for parabolic equations with nonlocal source and nonlinear boundary conditions

Boundary Value Problems ◽

10.1186/s13661-020-01340-5 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Wei Kou ◽

Juntang Ding

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlocal Source ◽

Blow Up Analysis

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The second initial-boundary value problem for a quasilinear parabolic equations with nonlinear boundary conditions

Applied Mathematics and Mechanics ◽

10.1007/bf02459256 ◽

2000 ◽

Vol 21 (11) ◽

pp. 1331-1337

Author(s):

Pan Jia-qing

Keyword(s):

Boundary Value Problem ◽

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Boundary Conditions ◽

Quasilinear Parabolic Equations ◽

Initial Boundary Value ◽

Quasilinear Parabolic

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Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2014-234 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 234

Author(s):

Changjun Li ◽

Lu Sun ◽

Zhong Fang

Keyword(s):

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Gradient Term ◽

Nonlinear Boundary Flux ◽

Quasilinear Parabolic Equations ◽

Boundary Flux ◽

Quasilinear Parabolic

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Global existence and blow-up of solutions to a nonlocal evolution p-laplace system with nonlinear boundary conditions

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60292-0 ◽

2011 ◽

Vol 31 (3) ◽

pp. 1001-1010

Author(s):

Xuesong Wu ◽

Wenjie Gao ◽

Jianwen Cao

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions

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New Blow-up Conditions to $p$-Laplace Type Nonlinear Parabolic Equations under Nonlinear Boundary Conditions

10.22541/au.159819167.72015576 ◽

2020 ◽

Author(s):

Soon Yeong Chung ◽

Jaeho Hwang

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlinear Parabolic Equations ◽

Nonlinear Parabolic ◽

Laplace Type

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Blow-up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3085 ◽

2014 ◽

Vol 38 (3) ◽

pp. 527-536 ◽

Cited By ~ 5

Author(s):

Khadijeh Baghaei ◽

Mahmoud Hesaaraki

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions

Applicable Analysis ◽

10.1080/00036810802713818 ◽

2009 ◽

Vol 88 (2) ◽

pp. 183-191 ◽

Cited By ~ 8

Author(s):

Xuyan Gao ◽

Juntang Ding ◽

Bao-Zhu Guo

Keyword(s):

Boundary Conditions ◽

Parabolic Equations ◽

Blow Up ◽

Global Solutions ◽

Neumann Boundary ◽

Neumann Boundary Conditions ◽

Quasilinear Parabolic Equations ◽

Quasilinear Parabolic

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