Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations

DOI10.1007/BF01783691zbMath0954.35154MaRDI QIDQ1570192

Hitoshi Imai, Toyohiko Aiki

Publication date: 11 February 2001

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

global existenceblow-up solutionsbounded free boundaryone-phase Stefan problemsdecays

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (5)

A nonlinear Stefan problem with variable exponent and different moving parameters ⋮ On a free boundary problem arising in snow avalanche dynamics ⋮ Well-posedness of one-phase Stefan problems for sublinear heat equations ⋮ A moving-boundary problem for concrete carbonation: Global existence and uniqueness of weak solutions ⋮ Stability of global solutions to one-phase Stefan problem for a semilinear parabolic equation

Cites Work

• Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions
• The Role of Critical Exponents in Blowup Theorems
• Behavior of free boundaries of blow-up solutions to one-phase stefan problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global existence of solutions to one-phase Stefan problems for semilinear parabolic equations