scientific article; zbMATH DE number 7405346

DOI10.24411/2500-0101-2020-15104zbMath1473.35345MaRDI QIDQ5153848

A. G. Podgaev

Publication date: 1 October 2021

Full work available at URL: http://mathnet.ru/eng/chfmj167

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

non-cylindrical domaincompactness theoremStefan's condition

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations (35K59)

Related Items

Global three-dimensional solvability the axisimmetric Stefan problem for quasilinear equation ⋮ Solvability of an axisymmetric problem for a nonlinearparabolic equation in domains with a non-cylindrical or unknown boundary. II ⋮ Compactness theorems connected with problems with unknown boundary ⋮ Compactness theorems for problems with unknown boundary

Cites Work

• One-phase inverse Stefan problems with unknown nonlinear sources
• The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
• On relative compactness of a set of abstract functions in a scale of Banach spaces
• On the global-in-time existence of a generalized solution to a free-boundary problem
• Linear and quasilinear elliptic equations
• On the Stefan problem
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