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ASME Press Select Proceedings
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
ISBN:
9780791859919
No. of Pages:
2000
Publisher:
ASME Press
Publication date:
2011
eBook Chapter
11 The Solutions for the Equations with Localized Consistent Blow-Up Rate
By
Jizhong Shi
,
Jizhong Shi
Department of Mathematics Chaohu College
, Chaohu,
China
, 238000
Search for other works by this author on:
Peishu Chen
Peishu Chen
Department of Mathematics Chaohu College
, Chaohu,
China
, 238000
Search for other works by this author on:
Page Count:
5
-
Published:2011
Citation
Chen, M, Shi, J, & Chen, P. "The Solutions for the Equations with Localized Consistent Blow-Up Rate." International Conference on Computer Technology and Development, 3rd (ICCTD 2011). Ed. Zhou, J. ASME Press, 2011.
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In this paper, The Dirichlet problem for a localized nonlinear equation ut1Â1um = a(x)up(0,t)+b(x)uq(x,t) is investigated. In the case of p>q 1Â¥ m, It is proved that the solutions have a global blow-up and the rate of blow-up is uniform in all compact subsets of the domain.
Topics:
Nonlinear equations
Abstract
Key Words
1 Introduction
2. Main Results
3. Summaries
Acknowledgment
References
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