## Communicated by X. Wang In this work, we prove the existence of global attractor for the nonlinear evolution equation . This improves a previous result of Xie and Zhong in (J. Math. Anal. Appl. 2007; 336:54-69.) concerning the existence of global attractor in H 1 0 (X)ΓH 1 0 (X) for a similar
Regularity and Decay of Solutions to the Stark Evolution Equation
β Scribed by M Ben-Artzi; A Devinatz
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 222 KB
- Volume
- 154
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
β¦ Synopsis
Long-time behavior and regularity are studied for solutions of the Stark equation
It is shown that for a class of short-range potentials V(x) the gain of local smoothness and the decay as |t| Γ are close to those of the corresponding Schro dinger equation u t =i(&2+V(x)) u.
π SIMILAR VOLUMES
We investigate the ΒΈN}ΒΈO estimate of solutions to the Cauchy problem of linear viscoelastic equation, especially, the di!usion wave property of linear viscoelastic equation like the Navier}Stokes equation in the compressible #uid case, which was studied by D. Ho! and K. Zumbrum and Tai-P.
## Abstract The existence of solutions to the nonlinear equations including the equation of flotating water is proved using the subellipticity of an operator in the equation and the contraction argument. Moreover a regularity result is given.