Grow-up rate of solutions for the heat equation with a sublinear source
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Publication:384337
DOI10.1186/1687-2770-2012-96zbMath1278.35023OpenAlexW2125012704WikidataQ59289826 ScholiaQ59289826MaRDI QIDQ384337
Publication date: 27 November 2013
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2012-96
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)
Related Items (3)
Global well-posedness and grow-up rate of solutions for a sublinear pseudoparabolic equation ⋮ Complicated asymptotic behavior of solutions for heat equation in some weighted space ⋮ Large time behavior of ODE type solutions to nonlinear diffusion equations
Cites Work
- Large time behaviour of solutions of the porous media equation with absorption
- Grow up rate of solutions for a supercritical semilinear diffusion equation
- Very slow convergence rates in a semilinear parabolic equation
- Asymptotic behaviour of nonlinear parabolic equations with critical exponents. A dynamical systems approach
- A porous media equation with absorption. I: Long time behaviour
- On bounded and unbounded global solutions of a supercritical semilinear heat equation
- Composite structure of global unbounded solutions of nonlinear heat equations with critical Sobolev exponents
- Linear behaviour of solutions of a superlinear heat equation
- Growup of solutions for a semilinear heat equation with supercritical nonlinearity
- Blow-up for quasilinear heat equations with critical Fujita's exponents
- Continuation of blowup solutions of nonlinear heat equations in several space dimensions
- The decay of the solutions for the heat equation with a potential
- Further study on a nonlinear heat equation
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