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A uniqueness theorem for a goursat-type problem

โœ Scribed by P.A. Mishnaevskii; A.G. Ramm

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
144 KB
Volume
5
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES

Uniqueness Theorems for Goursat-Type Pro
Uniqueness Theorems for Goursat-Type Problems
โœ P.A. Mishnaevskii; A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 149 KB

In this paper we prove uniqueness theorems for second-order hyperbolic equations in \(L^{2}\left(\mathbb{R}^{d}\right), d \geqslant 1\), and for second-order abstract hyperbolic equation in \(L^{2}(H)\), \(H\) is a Hilbert space. 1994 Academic Press, Inc.

A uniqueness theorem for an inverse prob
A uniqueness theorem for an inverse problem
โœ A.G. Ramm ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 231 KB

Let VZu+k2u+k2a~(z)u+V.(a~(~)Vu) = -6(cc-y) inR3, where al(z) EL'(D), a&) E H'(D), D E R3\_ = {z : 13 < 0) is a finite region, aj(Z) = 0 outside of D, j = 1,2, 1 + 02 > 0, al = El. Assume that thedatau(l,y,k),V~,yEP={I:13=0}8ndallkE(O,ko),ko>O is an arbitrary small number, are given. THEOREM. The ab