Problem with nonlocal condition on the free boundary

DOI10.1007/S11253-012-0630-4zbMath1302.35470OpenAlexW2103888964MaRDI QIDQ1933314

Zh. O. Takhirov, R. N. Turaev

Publication date: 23 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0630-4

Mathematics Subject Classification ID

Heat equation (35K05) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

• A class of nonlinear non-classical parabolic equations
• On the Stefan problem
• New results on some classical parabolic free-boundary problems
• A Two-Phase Free Boundary Problem for the Nonlinear Heat Equation
• On some problems with unknown boundaries for the heat conduction equation
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