On the non-existence of global solutions to the Cauchy problem for semilinear parabolic equations and inequalities

Archiv der Mathematik ◽

10.1007/s00013-006-1726-6 ◽

2006 ◽

Vol 87 (4) ◽

pp. 368-374

Author(s):

Vasilii V. Kurta

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

The Cauchy Problem ◽

Semilinear Parabolic

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The Cauchy problem for critical and subcritical semilinear parabolic equations in

Nonlinear Analysis ◽

10.1016/s0362-546x(00)00212-1 ◽

2002 ◽

Vol 48 (5) ◽

pp. 747-764 ◽

Author(s):

Wang Baoxiang

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

The Cauchy Problem ◽

Semilinear Parabolic

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The Cauchy problem for critical and subcritical semilinear parabolic equations in Lr (II), initial data in critical Sobolev spaces

Nonlinear Analysis ◽

10.1016/s0362-546x(02)00136-0 ◽

2003 ◽

Vol 52 (3) ◽

pp. 851-868 ◽

Author(s):

Wang Baoxiang

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Sobolev Spaces ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

The Cauchy Problem ◽

Semilinear Parabolic

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The Quenching Phenomena for the Cauchy Problem of Semilinear Parabolic Equations

Journal of Differential Equations ◽

10.1006/jdeq.2000.3952 ◽

2001 ◽

Vol 175 (1) ◽

pp. 163-174 ◽

Author(s):

Quiyi Dai ◽

Zeng Xianzhong

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

The Cauchy Problem ◽

Semilinear Parabolic

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On the cauchy problem for certain system of semilinear parabolic equations

Acta Mathematica Sinica English Series ◽

10.1007/bf02563880 ◽

1998 ◽

Vol 14 (1) ◽

pp. 27-34 ◽

Author(s):

Jian Huaiyu ◽

Chen Donggui

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Semilinear Parabolic Equations ◽

The Cauchy Problem ◽

Semilinear Parabolic

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Semi-Dirichlet forms, Feynman–Kac functionals and the Cauchy problem for semilinear parabolic equations

Journal of Functional Analysis ◽

10.1016/j.jfa.2014.11.013 ◽

2015 ◽

Vol 268 (5) ◽

pp. 1205-1240 ◽

Author(s):

Tomasz Klimsiak

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Dirichlet Forms ◽

Semilinear Parabolic Equations ◽

The Cauchy Problem ◽

Semilinear Parabolic

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Existence and uniqueness to the Cauchy problem for linear and semilinear parabolic equations with local conditions

ESAIM Proceedings ◽

10.1051/proc/2011005 ◽

2011 ◽

Vol 31 ◽

pp. 73-100

Author(s):

Gerardo Rubio

Keyword(s):

Cauchy Problem ◽

Parabolic Equations ◽

Existence And Uniqueness ◽

Semilinear Parabolic Equations ◽

Local Conditions ◽

The Cauchy Problem ◽

Semilinear Parabolic

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On the Boundedness of Global Solutions of Abstract Semilinear Parabolic Equations

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5696 ◽

1997 ◽

Vol 216 (2) ◽

pp. 654-666 ◽

Author(s):

Marek Fila ◽

Howard A. Levine

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic

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Global solutions and self-similar solutions of semilinear parabolic equations with nonlinear gradient terms

Nonlinear Analysis ◽

10.1016/j.na.2009.11.020 ◽

2010 ◽

Vol 72 (6) ◽

pp. 2744-2752 ◽

Author(s):

Qingshan Zhang ◽

Peihu Shi

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

Self Similar ◽

Similar Solutions ◽

Semilinear Parabolic

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Global solutions of abstract semilinear parabolic equations with memory terms

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-003-1004-2 ◽

2003 ◽

Vol 10 (4) ◽

pp. 399-430 ◽

Author(s):

Piermarco Cannarsa ◽

Daniela Sforza

Keyword(s):

Parabolic Equations ◽

Global Solutions ◽

Semilinear Parabolic Equations ◽

Semilinear Parabolic ◽

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Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.07.025 ◽

2012 ◽

Vol 13 (1) ◽

pp. 197-202 ◽

Author(s):

Runzhang Xu ◽

Xiuying Cao ◽

Tao Yu

Keyword(s):

Energy Level ◽

Parabolic Equations ◽

Finite Time ◽

Blow Up ◽

Global Solutions ◽

High Energy ◽

Semilinear Parabolic Equations ◽

High Energy Level ◽

Semilinear Parabolic

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