The linear heat equation with highly oscillating potential

Author:
Ismail Kombe

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2683-2691

MSC (2000):
Primary 35K15, 35K25, 35R25

DOI:
https://doi.org/10.1090/S0002-9939-04-07392-7

Published electronically:
April 9, 2004

MathSciNet review:
2054795

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we consider the following initial value problem:

where and . Nonexistence of positive solutions is analyzed.

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Additional Information

**Ismail Kombe**

Affiliation:
Department of Mathematics, 202 Mathematical Sciences Building, University of Missouri, Columbia, Missouri 65211

Email:
kombe@math.missouri.edu

DOI:
https://doi.org/10.1090/S0002-9939-04-07392-7

Keywords:
Heat equation,
instantaneous blow up,
positive solutions

Received by editor(s):
April 21, 2003

Received by editor(s) in revised form:
June 18, 2003

Published electronically:
April 9, 2004

Communicated by:
Carmen C. Chicone

Article copyright:
© Copyright 2004
American Mathematical Society