Blow-up Criteria for Semilinear Parabolic Equations

Author:

Kohda Atsuhito,Suzuki Takashi

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference14 articles.

1. On the Dirichlet problem for quasilinear elliptic differential equations of the second order;Akô;J. Math. Soc. Japan,1961

2. Fixed point equation and nonlinear eigenvalue problems in ordered Banach spaces;Amann;SIAM Rev.,1976

3. A criterion for blow-up of solutions to a semilinear heat equations;Bellout;SIAM J. Math. Anal.,1987

4. Blow up for ut−Δu=g(u) revisited;Brezis;Adv. Differential Equations,1996

5. Blow-up of positive solutions of semilinear heat equations;Friedman;Indiana Univ. Math. J.,1985

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1. Global and blow‐up analysis for a class of nonlinear reaction diffusion model with Dirichlet boundary conditions;Mathematical Methods in the Applied Sciences;2018-08-29

2. Touchdown and related problems in electrostatic MEMS device equation;Nonlinear Differential Equations and Applications NoDEA;2008-10

3. Seminlinear parabolic equation on bounded domain with critical Sobolev exponent;Indiana University Mathematics Journal;2008

4. Blow-up solutions for a class of nonlinear parabolic equations with Dirichlet boundary conditions;Nonlinear Analysis: Theory, Methods & Applications;2003-03

5. Bibliography;Operator Theory and Numerical Methods;2001

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