This paper is devoted to studying the initial-value problem of the Kawahara equation. By establishing some crucial bilinear estimates related to the Bourgain spaces X s,b (R 2 ) introduced by Bourgain and homogeneous Bourgain spaces, which is defined in this paper and using I-method as well as L 2 c
The Cauchy-Riemann Equation in Spaces with Uniform Weights
β Scribed by Bert Fischer
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 437 KB
- Volume
- 156
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Necessary and sufficient conditions for the stability of certain collocation methods applied to Cauchy singular integral equations on an interval are presented for weighted **L**__'__ norms. Moreover, the behavior of the approximation numbers, in particular their soβcalled __k__ βsplitt
A scale of Banach spaces is considered as a single weighted Banach space. A variant of the Cauchy-Kovalevskaya theorem is proved, including the results of Nirenberg and Nishida for the abstract nonlinear Cauchy problem. @ 1995 John Wiley & Sons, Inc.
In this paper we study an elliptic linear operator in weighted Sobolev spaces and show existence and uniqueness theorems for the Dirichlet problem when the coefficients are given in suitable spaces of Morrey type, improving the previous results known in the literature.
We deal with the existence and uniqueness of weak solutions for a class of strongly nonlinear boundary value problems of higher order with L 1 data in anisotropic-weighted Sobolev spaces of infinite order.