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. Exsistence and uniqueness of the solution is proven for small times via a contraction mapping technique.

The Dirichlet-to-Neumann Map for a Nonlinear Diffusion-Convection Equation

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. Exsistence and uniqueness of the solution is proven for small times via a contraction mapping technique.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1094068
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