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On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time
Author(s):
Daniele
Del Santo;
Martino
Prizzi
Journal:
Proc. Amer. Math. Soc.
135
(2007),
383-391.
MSC (2000):
Primary 35K10, 35B40
Posted:
August 2, 2006
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Additional information
Abstract:
We find minimal regularity conditions on the coefficients of a parabolic operator, ensuring that no nontrivial solution tends to zero faster than any exponential.
References:
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Additional Information:
Daniele
Del Santo
Affiliation:
Dipartimento di Matematica e Informatica, Università di Trieste, Via Valerio 12/1, 34127 Trieste, Italy
Email:
delsanto@univ.trieste.it
Martino
Prizzi
Affiliation:
Dipartimento di Matematica e Informatica, Università di Trieste, Via Valerio 12/1, 34127 Trieste, Italy
Email:
prizzi@dsm.univ.trieste.it
DOI:
10.1090/S0002-9939-06-08465-6
PII:
S 0002-9939(06)08465-6
Keywords:
Parabolic operator,
rapidly decaying solution,
modulus of continuity,
Osgood condition
Received by editor(s):
September 7, 2004
Received by editor(s) in revised form:
August 22, 2005
Posted:
August 2, 2006
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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