Slow convergence to zero for a parabolic equation with a supercritical nonlinearity
From MaRDI portal
Publication:2465219
DOI10.1007/s00208-007-0148-5zbMath1263.35138OpenAlexW1978020599MaRDI QIDQ2465219
Michael Winkler, Eiji Yanagida, Marek Fila
Publication date: 9 January 2008
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-007-0148-5
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Initial value problems for second-order parabolic equations (35K15)
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Cites Work
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- Grow up rate of solutions for a supercritical semilinear diffusion equation
- A Liouville property and quasiconvergence for a semilinear heat equation
- Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
- On bounded and unbounded global solutions of a supercritical semilinear heat equation
- Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
- Optimal lower bound of the grow-up rate for a supercritical parabolic equation
- Convergence rate for a parabolic equation with supercritical nonlinearity
- Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
- On the stability and instability of positive steady states of a semilinear heat equation in ℝn
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations
- Further study on a nonlinear heat equation
