Resolvent estimates in W-1,p related to strongly coupled linear parabolic systems with coupled nonsmooth capacities
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Date
2006
Authors
Volume
1086
Issue
Journal
Series Titel
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Publisher
Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
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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 Lp estimates for resolvents of elliptic differential operators in the case of smooth boundary conditions. Moreover, we establish an existence and uniqueness result.
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Keywords
Linear parabolic systems, coupled capacities, strong coupling, nonsmooth data, resolvent estimates, regularity, existence, uniqueness
Citation
Glitzky, A., & Hünlich, R. (2006). Resolvent estimates in W-1,p related to strongly coupled linear
parabolic systems with coupled nonsmooth capacities (Vol. 1086). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik.
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This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.
This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.