An existence result for a general non-linear parabolic equation and related eigenvalue problem through a standard variational approach

Fabio Botelho

doi:10.22541/au.173819108.88986539/v1

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An existence result for a general non-linear parabolic equation and related eigenvalue problem through a standard variational approach

Fabio Botelho

Abstract

This short communication develops an existence result for a general non-linear parabolic equation and related eigenvalue problem. The method of proof comprises a variational approach for establishing a concerning solution existence at each instant of time, related to a model discretized in time.