Existence and Non-Existence of Global Solutions for a Higher-Order Semilinear Parabolic System

Peter Pang; Fuqin Sun; Mingxin Wang

doi:10.1512/iumj.2006.55.2763

Existence and Non-Existence of Global Solutions for a Higher-Order Semilinear Parabolic System

Indiana University Mathematics Journal ◽

10.1512/iumj.2006.55.2763 ◽

2006 ◽

Vol 55 (3) ◽

pp. 1113-1134 ◽

Cited By ~ 8

Author(s):

Peter Pang ◽

Fuqin Sun ◽

Mingxin Wang

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Higher Order ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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Asymptotically Self-similar Global Solutions for a Higher-order Semilinear Parabolic System

Journal of Partial Differential Equations ◽

10.4208/jpde.v22.n3.6 ◽

2009 ◽

Vol 22 (3) ◽

pp. 282-298 ◽

Cited By ~ 2

Author(s):

Sun Fuqin

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Higher Order ◽

Semilinear Parabolic System ◽

Self Similar ◽

Semilinear Parabolic

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GLOBAL SOLUTIONS FOR A SEMILINEAR PARABOLIC SYSTEM

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30621-0 ◽

1983 ◽

Vol 3 (4) ◽

pp. 397-414 ◽

Cited By ~ 29

Author(s):

Xiaxi Ding ◽

Jinghua Wang

Keyword(s):

Parabolic System ◽

Global Solutions ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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Second critical exponent for a higher-order semilinear parabolic system

Science China Mathematics ◽

10.1007/s11425-014-4847-6 ◽

2014 ◽

Vol 58 (7) ◽

pp. 1453-1460

Author(s):

ChunXiao Yang ◽

JinGe Yang ◽

SiNing Zheng

Keyword(s):

Critical Exponent ◽

Parabolic System ◽

Higher Order ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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The Blow-Up Rate for a Semilinear Parabolic System

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1999.6525 ◽

1999 ◽

Vol 238 (2) ◽

pp. 468-476 ◽

Cited By ~ 30

Author(s):

Marek Fila ◽

Pavol Quittner

Keyword(s):

Parabolic System ◽

Blow Up ◽

Semilinear Parabolic System ◽

Blow Up Rate ◽

Semilinear Parabolic

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Construction and stability of blowup solutions for a non-variational semilinear parabolic system

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2018.01.003 ◽

2018 ◽

Vol 35 (6) ◽

pp. 1577-1630 ◽

Cited By ~ 7

Author(s):

Tej-Eddine Ghoul ◽

Van Tien Nguyen ◽

Hatem Zaag

Keyword(s):

Parabolic System ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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Decay of Mass for a Semilinear Parabolic System

Lecture Notes in Pure and Applied Mathematics - Partial Differential Equations ◽

10.1201/9780203910108.ch5 ◽

2002 ◽

Author(s):

Mohssine Alif ◽

L Amour

Keyword(s):

Parabolic System ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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Global Existence and Blow-Up of Solutions for a Semilinear Parabolic System

Rocky Mountain Journal of Mathematics ◽

10.1216/rmjm/1181071644 ◽

1999 ◽

Vol 29 (2) ◽

pp. 449-457 ◽

Cited By ~ 4

Author(s):

Shaohua Chen ◽

William R. Derrick

Keyword(s):

Global Existence ◽

Parabolic System ◽

Blow Up ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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Evolution of a semilinear parabolic system for migration and selection in population genetics

Journal of Differential Equations ◽

10.1016/j.jde.2004.01.009 ◽

2004 ◽

Vol 204 (2) ◽

pp. 292-322 ◽

Cited By ~ 20

Author(s):

Yuan Lou ◽

Thomas Nagylaki

Keyword(s):

Population Genetics ◽

Parabolic System ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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Non-simultaneous quenching in a semilinear parabolic system with weak singularities of logarithmic type

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.05.030 ◽

2008 ◽

Vol 196 (1) ◽

pp. 17-23 ◽

Cited By ~ 3

Author(s):

Yuanhong Zhi ◽

Chunlai Mu

Keyword(s):

Parabolic System ◽

Semilinear Parabolic System ◽

Semilinear Parabolic ◽

Logarithmic Type ◽

Weak Singularities

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A semilinear parabolic system in a bounded domain

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/bf01765854 ◽

1993 ◽

Vol 165 (1) ◽

pp. 315-336 ◽

Cited By ~ 105

Author(s):

M. Escobedo ◽

M. A. Herrero

Keyword(s):

Bounded Domain ◽

Parabolic System ◽

Semilinear Parabolic System ◽

Semilinear Parabolic

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