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ISSN 1088-6826(e) ISSN 0002-9939(p)

Geometric properties coded in the long-time asymptotics for the heat equation on

Author(s): Debe Bednarchak
Journal: Proc. Amer. Math. Soc. 131 (2003), 2261-2269.
MSC (2000): Primary 58J35, 58J37
Posted: October 24, 2002
MathSciNet review: 1963776
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Abstract: This paper investigates connections between the long-time asymptotics of heat distribution on a body $\Omega$ in , and various geometric properties of $\Omega$ , starting from an initially constant heat distribution supported on $\Omega$ . We use combinatorial and differential geometric methods. We begin the paper with a result in .

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Additional Information:

Debe Bednarchak
Affiliation: Department of Mathematics, Long Island University, 1 University Plaza, Brooklyn, New York 11201--8423
Email: dbednarc@liu.edu

DOI: 10.1090/S0002-9939-02-06760-6
PII: S 0002-9939(02)06760-6
Received by editor(s): July 12, 2001
Received by editor(s) in revised form: February 20, 2002
Posted: October 24, 2002
Additional Notes: The author was partially supported by the Faculty Scholarship and Development Committee of Long Island University
Communicated by: Jozef Dodziuk
Copyright of article: Copyright 2002, American Mathematical Society

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