On the convergence of the Newton's method combined with a proximal formulation for a general parabolic equation

Fabio Botelho

doi:10.22541/au.173557712.23020563/v1

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On the convergence of the Newton's method combined with a proximal formulation for a general parabolic equation

Fabio Botelho

Abstract

This short communication develops an existence result for a general non-linear parabolic equation. The method of proof comprises an application of the Newton's method combined with a proximal approach and a Banach fixed point theorem.