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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Uniqueness in the Cauchy problems for higher order elliptic differential operators
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by Wensheng Wang PDF
Proc. Amer. Math. Soc. 126 (1998), 2623-2630 Request permission

Abstract:

In this note, we study the uniqueness in Cauchy problems for a class of higher order elliptic differential operators with Lipschitz coefficients. In particular, we prove the uniqueness under assuming the potentials being $L^{r_{j}}_{ \text {loc}}$ with certain correct numbers $r_{j}$’s.
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Additional Information
  • Wensheng Wang
  • Affiliation: Department of Mathematics, Florida International University, Miami, Florida 33199
  • Email: wangwens@zeus.fiu.edu, wangw@solix.fiu.edu
  • Received by editor(s): May 27, 1993
  • Communicated by: J. Marshall Ash
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2623-2630
  • MSC (1991): Primary 35Jxx
  • DOI: https://doi.org/10.1090/S0002-9939-98-04707-8
  • MathSciNet review: 1476397