Well-posedness of one-phase Stefan problems for sublinear heat equations

DOI10.1016/S0362-546X(01)00845-8zbMath1010.35118MaRDI QIDQ698861

Toyohiko Aiki, Naoyuki Ishimura, Yoshio Yamada, Hitoshi Imai

Publication date: 30 September 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Green's functionglobal existence and uniquenessone-phase Stefan problemssublinear heat equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (4)

Stability of stationary solutions for semilinear heat equations with concave nonlinearity ⋮ A nonlinear Stefan problem with variable exponent and different moving parameters ⋮ Stability and instability of stationary solutions for sublinear parabolic equations ⋮ Remarks on the nonlinear Black-Scholes equations with the effect of transaction costs

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• Behavior of free boundaries of blow-up solutions to one-phase stefan problems
• On the uniqueness and non‐uniqueness of solutions of initial value problems for some quasi‐linear parabolic equations

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