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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the absence of rapidly decaying solutions for parabolic operators whose coefficients are non-Lipschitz continuous in time
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by Daniele Del Santo and Martino Prizzi PDF
Proc. Amer. Math. Soc. 135 (2007), 383-391 Request permission

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.
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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
  • Received by editor(s): September 7, 2004
  • Received by editor(s) in revised form: August 22, 2005
  • Published electronically: August 2, 2006
  • Communicated by: David S. Tartakoff
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 383-391
  • MSC (2000): Primary 35K10, 35B40
  • DOI: https://doi.org/10.1090/S0002-9939-06-08465-6
  • MathSciNet review: 2255284