A singular solution with smooth initial data for a semilinear parabolic equation
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Publication:622410
DOI10.1016/j.na.2010.10.010zbMath1208.35081OpenAlexW2085912210MaRDI QIDQ622410
Publication date: 31 January 2011
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2010.10.010
Critical exponents in context of PDEs (35B33) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)
Related Items (3)
Convergence rate to singular steady states in a semilinear parabolic equation ⋮ Unnamed Item ⋮ Positive solutions with a time-independent boundary singularity of semilinear heat equations in bounded Lipschitz domains
Cites Work
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- Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
- Asymptotic behavior of solutions of a semilinear heat equation with subcritical nonlinearity
- Solutions with moving singularities for a semilinear parabolic equation
- Quasilinear Dirichlet problems driven by positive sources
- Forward self-similar solution with a moving singularity for a semilinear parabolic equation
- An ODE approach to the multiplicity of self-similar solutions for semi-linear heat equations
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