A method for constructing the Dirichlet-to-Neumann map for a nonlinear diffusion-convection equation is presented. The problem is reduced to the solution of a nonlinear integral equation in one independent variable. Existence and uniqueness of the solution may be proven for small times via a contraction mapping technique.

An Inverse Problem for a Nonlinear Diffusion-Convection Equation

DE LILLO, Silvana;BURINI, DILETTA
2012

Abstract

A method for constructing the Dirichlet-to-Neumann map for a nonlinear diffusion-convection equation is presented. The problem is reduced to the solution of a nonlinear integral equation in one independent variable. Existence and uniqueness of the solution may be proven for small times via a contraction mapping technique.
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1125470
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