Self-similarity and the singular Cauchy problem for the heat equation with cubic absorption

DOI10.1016/S0893-9659(00)00103-8zbMath0980.35066MaRDI QIDQ5938870

Julián Aguirre

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

self-similar solutions1D heat equation with absorption

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Growth and boundedness of solutions to ordinary differential equations (34C11) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Unnamed Item
• Nonlinear parabolic equations involving measures as initial conditions
• Asymptotically self-similar global solutions of the nonlinear Schrödinger and heat equations
• On Leray's self-similar solutions of the Navier-Stokes equations
• Self-Similar Solutions of a Convection Diffusion Equation And Related Semilinear Elliptic Problems

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