✦ LIBER ✦
Resolvent estimates in W−1,p related to strongly coupled-linear parabolic systems with coupled nonsmooth capacities
✍ Scribed by Annegret Glitzky; Rolf Hünlich
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 186 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.886
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✦ Synopsis
Abstract
We investigate linear parabolic systems with coupled nonsmooth capacities and mixed boundary conditions. We prove generalized resolvent estimates in W^−1, p^ spaces. The method is an appropriate modification of a technique introduced by Agmon to obtain L^p^ estimates for resolvents of elliptic differential operators in the case of smooth boundary conditions. Moreover, we establish an existence and uniqueness result. Copyright © 2007 John Wiley & Sons, Ltd.