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Unique continuation for second-order parabolic operators at the initial time
Author(s):
Paolo
Albano;
Daniel
Tataru
Journal:
Proc. Amer. Math. Soc.
132
(2004),
1077-1085.
MSC (2000):
Primary 35K10, 35B60
Posted:
September 18, 2003
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Abstract:
We consider second-order parabolic equations with time independent coefficients. Under reasonable assumptions, it is known that the fundamental solution satisfies certain Gaussian bounds related to the associated geodesic distance. In this article we prove a sharp unique continuation property at the initial time which matches exactly the above-mentioned kernel bounds.
References:
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Additional Information:
Paolo
Albano
Affiliation:
Dipartimento di Matematica, Università di Bologna, 40127 Bologna, Italy
Email:
albano@dm.unibo.it
Daniel
Tataru
Affiliation:
Department of Mathematics, University of California Berkeley, Berkeley, California 94720
Email:
tataru@math.berkeley.edu
DOI:
10.1090/S0002-9939-03-07227-7
PII:
S 0002-9939(03)07227-7
Received by editor(s):
November 19, 2002
Posted:
September 18, 2003
Additional Notes:
The second author was supported in part by NSF grant DMS 9970297
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2003,
American Mathematical Society
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