Quenching criteria for a parabolic problem due to a concentrated nonlinear source in an infinite strip
Authors:
C. Y. Chan and P. Tragoonsirisak
Journal:
Quart. Appl. Math. 71 (2013), 541548
MSC (2010):
Primary 35K60, 35B35, 35K55, 35K57
Published electronically:
May 20, 2013
MathSciNet review:
3112827
Fulltext PDF
Abstract 
References 
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Additional Information
Abstract: This article studies a semilinear parabolic first initialboundary value problem with a concentrated nonlinear source in an dimensional infinite strip. Criteria for the solution to quench are given.
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(2005e:35139)
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558–566. MR
990863 (91e:35030), 10.1137/0520039
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Y. Chan and P.
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Y. Chan and P.
Tragoonsirisak, A multidimensional blowup problem
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(2012e:35130), 10.1090/S0033569X2011012193
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 C. Y. Chan and X. O. Jiang, Quenching for a degenerate parabolic problem due to a concentrated nonlinear source, Quart. Appl. Math. 62 (2004), 553568. MR 2086046 (2005e:35139)
 2.
 C. Y. Chan and H. G. Kaper, Quenching for semilinear singular parabolic problems, SIAM J. Math. Anal. 20 (1989), 558566. MR 990863 (91e:35030)
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 C. Y. Chan and P. Tragoonsirisak, A multidimensional quenching problem due to a concentrated nonlinear source in , Nonlinear Anal. 69 (2008), 14941514. MR 2424525 (2009g:35128)
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 C. Y. Chan and P. Tragoonsirisak, A multidimensional blowup problem due to a concentrated nonlinear source in , Quart. Appl. Math. 69 (2011), 317330. MR 2814530 (2012e:35130)
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 C. Y. Chan and P. Tragoonsirisak, A quenching problem due to a concentrated nonlinear source in an infinite strip, Dynam. Systems Appl. 20 (2011), 505518. MR 2884683
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 K. R. Stromberg, An Introduction to Classical Real Analysis, Wadsworth, Belmont, CA, 1981, pp. 266268, and 518. MR 604364 (82c:26002)
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 W. R. Wade, An Introduction to Analysis, 2nd ed., PrenticeHall, Upper Saddle River, NJ, 2000, pp. 190191.
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Additional Information
C. Y. Chan
Affiliation:
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504
Email:
chan@louisiana.edu
P. Tragoonsirisak
Affiliation:
Department of Mathematics and Computer Science, Fort Valley State University, Fort Valley, Georgia 31030
Email:
tragoonsirisakp@fvsu.edu
DOI:
http://dx.doi.org/10.1090/S0033569X2013013153
PII:
S 0033569X(2013)013153
Keywords:
Quenching criteria,
concentrated nonlinear source,
infinite strip.
Received by editor(s):
September 24, 2011
Published electronically:
May 20, 2013
Article copyright:
© Copyright 2013
Brown University
