Growup of solutions for a semilinear heat equation with supercritical nonlinearity
From MaRDI portal
Publication:2498849
DOI10.1016/j.jde.2005.11.002zbMath1102.35049OpenAlexW2021004605MaRDI QIDQ2498849
Publication date: 16 August 2006
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2005.11.002
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Asymptotic behavior of solutions to equations on manifolds (58K55)
Related Items
Grow-up rate of solutions for the heat equation with a sublinear source ⋮ Universal lower bound of the convergence rate of solutions for a semi-linear heat equation with a critical exponent ⋮ Global unbounded solutions of the Fujita equation in the intermediate range ⋮ Very slow grow-up of solutions of a semi-linear parabolic equation ⋮ Sharp estimates of the convergence rate for a semilinear parabolic equation with supercritical nonlinearity ⋮ Very slow convergence rates in a semilinear parabolic equation ⋮ Optimal lower bound of the grow-up rate for a supercritical parabolic equation ⋮ Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces ⋮ Convergence rate for a semilinear parabolic equation with a singular nonlinearity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Blow up behavior of solutions for a semilinear heat equation with supercritical nonlinearity
- Grow up rate of solutions for a supercritical semilinear diffusion equation
- A bound for global solutions of semilinear heat equations
- Remarks on the large time behaviour of a nonlinear diffusion equation
- Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
- Critical exponents for the blow-up of solutions with sign changes in a semilinear parabolic equation
- Critical exponent for the bipolar blowup in a semilinear parabolic equation
- On bounded and unbounded global solutions of a supercritical semilinear heat equation
- On the behavior of solutions for a semilinear parabolic equation with supercritical nonlinearity
- Type-II blowup for a semilinear heat equation
- Quasilinear Dirichlet problems driven by positive sources
- Solutions globales d'equations de la chaleur semi lineaires.
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- On Nonexistence of type II blowup for a supercritical nonlinear heat equation
- Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball.
- Boundedness of global solutions for a supercritical semilinear heat equation and its application
