|
Uniqueness in the Cauchy problems for higher order elliptic differential operators
Author(s):
Wensheng
Wang
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2623-2630.
MSC (1991):
Primary 35Jxx
MathSciNet review:
1476397
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
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 with certain correct numbers 's.
References:
- 1.
- A. P. Calderon, Uniqueness in the Cauchy problem for partial differential equations, Amer. J. Math., 80 (1958) 16-36. MR 21:3675
- 2.
- C. Sogge, Uniqueness in Cauchy problem for hyperbolic differential operator, Trans. of AMS., 333 (1992) 821-833. MR 92m:35006
- 3.
- W. Wang, Carleman inequalities and unique continuation for higher order elliptic differential operators, Duke Math. J., 74 (1994) 107-128. MR 95j:35078
- 4.
- T. Wolff, A property of measures in
and an application to unique continuation, Geometrical and Functional Analysis, 2 (1992) 225-284. MR 93c:35015
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (1991):
35Jxx
Retrieve articles in all Journals with
MSC (1991):
35Jxx
Additional Information:
Wensheng
Wang
Affiliation:
Department of Mathematics, Florida International University, Miami, Florida 33199
Email:
wangwens@zeus.fiu.edu, wangw@solix.fiu.edu
DOI:
10.1090/S0002-9939-98-04707-8
PII:
S 0002-9939(98)04707-8
Received by editor(s):
May 27, 1993
Communicated by:
J. Marshall Ash
Copyright of article:
Copyright
1998,
American Mathematical Society
|