Blow-up phenomena in parabolic problems with time dependent coefficients under Dirichlet boundary conditions
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Publication:2839301
DOI10.1090/S0002-9939-2013-11493-0zbMath1277.35075MaRDI QIDQ2839301
G. A. Philippin, Lawrence E. Payne
Publication date: 5 July 2013
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
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Cites Work
- Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition
- Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
- Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
- Blow-up phenomena for some nonlinear parabolic problems
- Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
- Lower bounds for blow-up time in a nonlinear parabolic problem
- Existence and non-existence of global solutions for a semilinear heat equation
- Best constant in Sobolev inequality
- Blowup in diffusion equations: A survey
- Halbgruppen und semilineare Anfangs-Randwertprobleme
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Bounds for blow-up time in nonlinear parabolic problems
- The problems of blow-up for nonlinear heat equations. Complete blow-up and avalanche formation
- LOWER BOUNDS FOR BLOW-UP TIME IN SOME NON-LINEAR PARABOLIC PROBLEMS UNDER NEUMANN BOUNDARY CONDITIONS
- Lower bounds for blow-up time in parabolic problems under Neumann conditions
- Bounds for blow-up time for the heat equation under nonlinear boundary conditions
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Explosive Instabilities in Mechanics
- Some remarks on the asymptotic behaviour of the solutions of a class of parabolic problems
- On the growth of solutions of quasi‐linear parabolic equations
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