One-phase inverse Stefan problem with an unknown distributed convection coefficient

DOI10.1134/S1064562414060209zbMath1306.80002MaRDI QIDQ2254110

N. L. Gol'dman

Publication date: 4 February 2015

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

quasilinear parabolic equationinverse Stefan problemfree-boundary domain

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Inverse problems for PDEs (35R30) Free boundary problems for PDEs (35R35) Inverse problems in thermodynamics and heat transfer (80A23) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Quasilinear parabolic equations (35K59)

Cites Work

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• One-phase inverse Stefan problems with unknown nonlinear sources
• Properties of solutions of parabolic equations with unknown coefficients
• A method of fundamental solutions for the one-dimensional inverse Stefan problem
• Uniqueness of determination of a source function in a quasilinear inverse Stefan problem with final observation
• Unique continuation for parabolic differential equations and inequalities

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