Boundedness of Global Solutions for a Heat Equation with Exponential Gradient Source

We consider a one-dimensional semilinear parabolic equation with exponential gradient source and provide a complete classification of large time behavior of the classical solutions: either the space derivative of the solution blows up in finite time with the solution itself remaining bounded or the...

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Bibliographic Details
Main Authors: Zhengce Zhang, Yanyan Li
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/398049
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