A Cauchy problem on the semiline for a nonlinear diffusion equation is considered, with a boundary condition corresponding to a prescribed thermal conductivity at the origin. The problem is mapped into a moving boundary problem for the linear heat equation with a Robin-type boundary condition. Such a problem is then reduced to a linear integral Volterra equation of II type which admits a unique solution.

Half-line Solutions of a Nonlinear Heat Conduction Problem

DE LILLO, Silvana;LUPO, GAIA;SOMMACAL, MATTEO
2007-01-01

Abstract

A Cauchy problem on the semiline for a nonlinear diffusion equation is considered, with a boundary condition corresponding to a prescribed thermal conductivity at the origin. The problem is mapped into a moving boundary problem for the linear heat equation with a Robin-type boundary condition. Such a problem is then reduced to a linear integral Volterra equation of II type which admits a unique solution.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/158452
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