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Existence of solutions for a parabolic equation in bounded domain

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Abstract In this paper, we study the existence of nonnegative solutions for the parabolic problem where D is a smooth domain of , (), the function is such that and… Click to show full abstract

Abstract In this paper, we study the existence of nonnegative solutions for the parabolic problem where D is a smooth domain of , (), the function is such that and is the normalized positive eigenfunction corresponding to the first eigenvalue of and V belongs to a class of time-dependant potentials which can be written as a nonlinear combination of derivatives of a function.

Keywords: equation bounded; parabolic equation; existence; solutions parabolic; domain; existence solutions

Journal Title: Applicable Analysis
Year Published: 2018

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