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Journal of Applied Mathematics and Computing

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01-10-2014 | Original Research

Global boundedness and blow-up for a parabolic system with positive Dirichlet boundary value

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2014

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Abstract

This paper deals with a parabolic system coupled via nonlocal sources, subjecting to positive Dirichlet boundary value conditions. By using the super-, sub-solution methods and techniques, and piecewise functions, the blow-up criteria and global boundedness of nonnegative solutions are determined. The results show the positive boundary value ε ₀ plays an important role in the case of blow-up.

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Title: Global boundedness and blow-up for a parabolic system with positive Dirichlet boundary value
Publication date: 01-10-2014
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2014
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-013-0741-6

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