Parabolic Equations of Infinite Order withL1Data-Reference-Cited by-同舟云学术

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Parabolic Equations of Infinite Order withL1Data

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Abdou Mohammed Housseine¹,Chrif Moussa¹,El Manouni Said²^ORCID

Affiliation:

1. Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, BP 1796, Atlas, 30000 Fès, Morocco

2. Department of Mathematics, Faculty of Sciences, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), P. O. Box 90950, Riyadh 11623, Saudi Arabia

Abstract

We prove an existence result of a nonlinear parabolic equation under Dirichlet null boundary conditions in Sobolev spaces of infinite order, where the second member belongs toL1QT.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/646721.pdf

Reference12 articles.

1. Teubner-Texte zur Mathematik 87,1986

2. Existence Results for Strongly Nonlinear Elliptic Equations of Infinite Order

3. Elliptic equations in weighted Sobolev spaces of infinite order with L 1 data

4. SOBOLEV SPACES OF INFINITE ORDER AND THE BEHAVIOR OF SOLUTIONS OF SOME BOUNDARY VALUE PROBLEMS WITH UNBOUNDED INCREASE OF THE ORDER OF THE EQUATION

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1. Existence of solutions to a strongly nonlinear parabolic–elliptic coupled system of infinite order;Asian-European Journal of Mathematics;2024-08-02

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