Parabolic Equations of Infinite Order with L1 Data

Mohammed Housseine Abdou; Moussa Chrif; Said El Manouni

doi:10.1155/2014/646721

Abstract and Applied Analysis (Jan 2014)

Parabolic Equations of Infinite Order with L1 Data

Mohammed Housseine Abdou,
Moussa Chrif,
Said El Manouni

Affiliations

Mohammed Housseine Abdou: Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, BP 1796, Atlas, 30000 Fès, Morocco
Moussa Chrif: Département de Mathématiques et Informatique, Faculté des Sciences Dhar-Mahraz, BP 1796, Atlas, 30000 Fès, Morocco
Said El Manouni: Department of Mathematics, Faculty of Sciences, Al Imam Mohammad Ibn Saud Islamic University (IMSIU), P. O. Box 90950, Riyadh 11623, Saudi Arabia

DOI: https://doi.org/10.1155/2014/646721
Journal volume & issue: Vol. 2014

Abstract

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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 to L1QT.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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