A nonlinear diffusive equation with moving boundaries is analyzed by constructing the corresponding Dirichlet-to-Neumann map. In particular, the Dirichlet boundary value and the initial condition are used to derive the unknown Neumann boundary value. Then, a contraction-mapping technique is used to prove existence and uniqueness of the solution for small times.

Dirichlet to Neumann Map for a Nonlinear Diffusion Equation

DE LILLO, Silvana;LUPO, GAIA;
2011-01-01

Abstract

A nonlinear diffusive equation with moving boundaries is analyzed by constructing the corresponding Dirichlet-to-Neumann map. In particular, the Dirichlet boundary value and the initial condition are used to derive the unknown Neumann boundary value. Then, a contraction-mapping technique is used to prove existence and uniqueness of the solution for small times.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/174629
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