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

Constantin P. Niculescu; Ionel Rovenţa

doi:10.1155/2010/491023

Discrete Dynamics in Nature and Society (Jan 2010)

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

Constantin P. Niculescu,
Ionel Rovenţa

Affiliations

Constantin P. Niculescu: Department of Mathematics, University of Craiova, 200585 Craiova, Romania
Ionel Rovenţa: Department of Mathematics, University of Craiova, 200585 Craiova, Romania

DOI: https://doi.org/10.1155/2010/491023
Journal volume & issue: Vol. 2010

Abstract

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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).

Published in Discrete Dynamics in Nature and Society

ISSN: 1026-0226 (Print); 1607-887X (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/3059

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