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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
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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.

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 $R^{n}$ and an application to unique continuation, Geometrical and Functional Analysis, 2 (1992) 225-284. MR 93c:35015


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