A multi-dimensional blow-up problem due to a concentrated nonlinear source in

Authors:
C. Y. Chan and P. Tragoonsirisak

Journal:
Quart. Appl. Math. **69** (2011), 317-330

MSC (2000):
Primary 35K60, 35K57, 35B35

DOI:
https://doi.org/10.1090/S0033-569X-2011-01219-3

Published electronically:
March 9, 2011

MathSciNet review:
2814530

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Let be an -dimensional ball centered at the origin with a radius , and be its boundary. Also, let denote the unit inward normal at , and let be the characteristic function, which is 1 for , and 0 for . This article studies the following multi-dimensional semilinear parabolic problem with a concentrated nonlinear source on :

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Additional Information

**C. Y. Chan**

Affiliation:
Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010

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:
https://doi.org/10.1090/S0033-569X-2011-01219-3

Keywords:
Concentrated nonlinear source,
Existence,
Uniqueness,
Blowup.

Received by editor(s):
October 12, 2009

Published electronically:
March 9, 2011

Article copyright:
© Copyright 2011
Brown University