Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition-Reference-Cited by-同舟云学术

Well posedness of a nonlinear mixed problem for a parabolic equation with integral condition

Published:2021-08-06 Issue:1 Volume:2021 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Djerad Abdelkader^ORCID,Memou Ameur,Hameida Ali

Abstract

AbstractThe aim of this work is to prove the well posedness of some posed linear and nonlinear mixed problems with integral conditions. First, an a priori estimate is established for the associated linear problem and the density of the operator range generated by the considered problem is proved by using the functional analysis method. Subsequently, by applying an iterative process based on the obtained results for the linear problem, the existence, uniqueness of the weak solution of the nonlinear problems is established.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-021-01546-1.pdf

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