A priori estimates and the representation formula for all positive solutions to a semilinear parabolic problem
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Publication:1288166
DOI10.1006/jmaa.1999.6296zbMath0926.35058OpenAlexW2069396754MaRDI QIDQ1288166
Publication date: 15 November 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1999.6296
Nonlinear parabolic equations (35K55) Integral representations of solutions to PDEs (35C15) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)
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A note on the paper by Qi S. Zhang: A priori estimates and the representation formula for all positive solutions to a semilinear parabolic problem ⋮ The Fujita exponent for semilinear heat equations with quadratically decaying potential or in an exterior domain
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
- The value of the critical exponent for reaction-diffusion equations in cones
- On the critical exponent for reaction-diffusion equations
- Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
- Existence and non-existence of global solutions for a semilinear heat equation
- On the growing problem for semilinear heat equations
- Multidimensional nonlinear diffusion arising in population genetics
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems
- The Role of Critical Exponents in Blowup Theorems
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Nonlinear equations and weighted norm inequalities
- On nonexistence of global solutions of some semilinear parabolic differential equations