Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations

Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations

Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.

Bibliographic Details
Main Authors: Sebti Kerbal, Mokhtar Kirane
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/149091
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spelling doaj-63d0fd7c000441e595d79da8946473932020-11-24T23:45:21ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/149091149091Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic EquationsSebti Kerbal0Mokhtar Kirane1Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khodh, Muscat 123, OmanLaboratoire de Mathématiques, Image et Applications, Pôle Sciences et Technologies, Université de La Rochelle, Avenue M. Crépeau, 17042 La Rochelle, FranceNonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.http://dx.doi.org/10.1155/2011/149091
collection DOAJ
language English
format Article
sources DOAJ
author Sebti Kerbal
Mokhtar Kirane
spellingShingle Sebti Kerbal
Mokhtar Kirane
Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
Abstract and Applied Analysis
author_facet Sebti Kerbal
Mokhtar Kirane
author_sort Sebti Kerbal
title Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
title_short Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
title_full Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
title_fullStr Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
title_full_unstemmed Nonexistence Results for the Cauchy Problem for Nonlinear Ultraparabolic Equations
title_sort nonexistence results for the cauchy problem for nonlinear ultraparabolic equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description Nonexistence of global solutions to ultraparabolic equations and systems is presented. Our results fill a gap in the literature on ultraparabolic equations. The method of proof we use relies on a choice of a suitable test function in the weak formulation of the solutions of the problems under-study.
url http://dx.doi.org/10.1155/2011/149091
work_keys_str_mv AT sebtikerbal nonexistenceresultsforthecauchyproblemfornonlinearultraparabolicequations
AT mokhtarkirane nonexistenceresultsforthecauchyproblemfornonlinearultraparabolicequations
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