This paper addresses the existence and uniqueness of a solution and stability for Lipschitz discrete-time descriptor systems. By means of the fixed point principle, a criterion is presented via a matrix inequality, and the criterion guarantees the existence and uniqueness of a solution. In addition,
A Note on the Existence of Solutions to the Oseen System in Lipschitz Domains
โ Scribed by Remigio Russo; Christian G. Simader
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 207 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1422-6928
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Let u be a vector field on a bounded Lipschitz domain in โ^3^, and let u together with its divergence and curl be square integrable. If either the normal or the tangential component of u is square integrable over the boundary, then u belongs to the Sobolev space __H__^1/2^ on the domain
In this paper we are concerned with the initial boundary value problem of the micropolar uid system in a three dimensional bounded domain. We study the resolvent problem of the linearized equations and prove the generation of analytic semigroup and its time decay estimates. In particular, L p -L q t