LOCAL AND GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR MEMORY AND NONLINEAR BOUNDARY CONDITIONS

Jian Wang; Meng-Long Su; Zhong-Bo Fang

doi:10.4134/bkms.2013.50.1.037

LOCAL AND GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO A POLYTROPIC FILTRATION SYSTEM WITH NONLINEAR MEMORY AND NONLINEAR BOUNDARY CONDITIONS

Bulletin of the Korean Mathematical Society ◽

10.4134/bkms.2013.50.1.037 ◽

2013 ◽

Vol 50 (1) ◽

pp. 37-56

Author(s):

Jian Wang ◽

Meng-Long Su ◽

Zhong-Bo Fang

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlinear Memory ◽

Filtration System

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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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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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Global existence and blow-up results for p-Laplacian parabolic problems under nonlinear boundary conditions

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1665-3 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 1

Author(s):

Juntang Ding

Keyword(s):

Global Existence ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Parabolic Problems

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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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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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Analysis on blow-up time of parabolic equation system with nonlinear boundary conditions

10.1109/ccdc52312.2021.9602189 ◽

2021 ◽

Author(s):

Zhang Xiaoyue ◽

Zhang Lingling

Keyword(s):

Parabolic Equation ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Equation System

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Corrigendum to “Existence, blow-up and exponential decay estimates for a system of nonlinear wave equations with nonlinear boundary conditions” [Math Meth Appl Sci. 37 (4) (2014) 464-487. https://doi.org/10.1002/mma.2803]

10.22541/au.160068432.24998300 ◽

2020 ◽

Author(s):

Le Thi Phuong Ngoc ◽

Nguyen Thanh Long

Keyword(s):

Boundary Conditions ◽

Nonlinear Wave ◽

Exponential Decay ◽

Wave Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Nonlinear Wave Equations ◽

Decay Estimates

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Existence, blow-up and exponential decay estimates for a system of nonlinear viscoelastic wave equations with nonlinear boundary conditions

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020023 ◽

2020 ◽

Vol 19 (1) ◽

pp. 455-492 ◽

Cited By ~ 1

Author(s):

Nguyen Thanh Long ◽

◽

Hoang Hai Ha ◽

Le Thi Phuong Ngoc ◽

Nguyen Anh Triet ◽

...

Keyword(s):

Boundary Conditions ◽

Exponential Decay ◽

Wave Equations ◽

Nonlinear Boundary ◽

Blow Up ◽

Nonlinear Boundary Conditions ◽

Decay Estimates ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave

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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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