Two Variational Inequality Problems for the Wave Equation in a Half-space
โ Scribed by Randolph G. Cooper Jr. III
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 184 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The theory of scattering is studied for the nonlinear wave equation iu+|u| r -1 u=0 in space dimensions n=3, 4. We give a new proof of the asymptotic completeness in the finite energy and conformal charge space for n=r=3. Our method is strong enough to deal with the subconformal power r < 1+4/(n -1)
## Abstract In this article the analytic and asymptotic properties of the resolvent for elastic waves in a three dimensional domain perturbed from the isotropic half space **R**^3^~+~ are studied. In this case, the asymptotic expansion of the resolvent at the origin has logarithmic terms. This prop
## Abstract In this paper we shall define an inverse problem for the Helmholtz equation with imaginary part of the wave number being positive. The Cauchy data are known on the boundary of the half plane, but it is not known where the half axis, lying vertically in the upper half plane, is situated.
Dedicated to Professor George C. Hsiao on the occasion of his 60th birthday