Dirichlet-to-Neumann Map for a Nonlinear Diffusion Equation

DOI10.1111/j.1467-9590.2010.00500.xzbMath1213.35238OpenAlexW1591281990MaRDI QIDQ3082630

Antonino Polimeno, G. Lupo, Vincenzo Barone, Silvana De Lillo

Publication date: 16 March 2011

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/j.1467-9590.2010.00500.x

zbMATH Keywords

moving boundarieslocal existence and uniquenesscontraction-mapping technique

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Quasilinear parabolic equations (35K59)

Related Items (3)

An inverse problem for a nonlinear diffusion-convection equation ⋮ Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations ⋮ On integrability of the time fractional nonlinear heat conduction equation

Cites Work

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• Explicit solutions to the two-phase Stefan problem for Storm-type materials
• The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
• On a Burgers-Stefan problem
• A Cauchy problem in nonlinear heat conduction
• The Dirichlet-to-Neumann map for the heat equation on a moving boundary
• Heat Conduction in Simple Metals

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