Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities

We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).

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Main Authors: Constantin P. Niculescu, Ionel Rovenţa
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/491023
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author Constantin P. Niculescu
Ionel Rovenţa
author_facet Constantin P. Niculescu
Ionel Rovenţa
author_sort Constantin P. Niculescu
collection DOAJ
description We consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).
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institution Kabale University
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1607-887X
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publishDate 2010-01-01
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series Discrete Dynamics in Nature and Society
spelling doaj-art-1dd55b603b9547d4ad26d7991e3f03eb2025-02-03T01:32:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/491023491023Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of NonlinearitiesConstantin P. Niculescu0Ionel Rovenţa1Department of Mathematics, University of Craiova, 200585 Craiova, RomaniaDepartment of Mathematics, University of Craiova, 200585 Craiova, RomaniaWe consider a new class of nonlinearities for which a nonlocal parabolic equation with Neumann boundary conditions has finite time blow-up solutions. Our approach is inspired by previous work done by Jazar and Kiwan (2008) and El Soufi et al. (2007).http://dx.doi.org/10.1155/2010/491023
spellingShingle Constantin P. Niculescu
Ionel Rovenţa
Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities
Discrete Dynamics in Nature and Society
title Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities
title_full Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities
title_fullStr Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities
title_full_unstemmed Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities
title_short Large Solutions for Semilinear Parabolic Equations Involving Some Special Classes of Nonlinearities
title_sort large solutions for semilinear parabolic equations involving some special classes of nonlinearities
url http://dx.doi.org/10.1155/2010/491023
work_keys_str_mv AT constantinpniculescu largesolutionsforsemilinearparabolicequationsinvolvingsomespecialclassesofnonlinearities
AT ionelroventa largesolutionsforsemilinearparabolicequationsinvolvingsomespecialclassesofnonlinearities