Blow-up phenomena for some nonlinear parabolic problems under mixed boundary conditions
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Publication:708542
DOI10.1016/j.nonrwa.2010.02.011zbMath1201.35057OpenAlexW2047490489MaRDI QIDQ708542
Changhao Lin, Yuanfei Li, Yan Liu
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.011
Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)
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Cites Work
- Remarks on the maximum principle for parabolic equations and its applications
- Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
- Blow-up phenomena for some nonlinear parabolic problems
- Blow-up of solutions of nonlinear heat equations
- Existenz und Regularität von Lösungen semilinearer parabolischer Anfangs-Randwertprobleme
- Blowup in diffusion equations: A survey
- The problem of blow-up in nonlinear parabolic equations
- Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
- The Role of Critical Exponents in Blowup Theorems
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Explosive Instabilities in Mechanics
- A strong maximum principle for parabolic equations
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