Resolvent estimates in W−1,p related to strongly coupled‐linear parabolic systems with coupled nonsmooth capacities |
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| Authors: | Annegret Glitzky Rolf Hünlich |
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| Institution: | 1. Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstra?e 39, D‐10117 Berlin, GermanyWeierstrass Institute for Applied Analysis and Stochastics, Mohrenstra?e 39, D‐10117 Berlin, Germany===;2. Marschnerstra?e 8, D‐02625 Bautzen, Germany |
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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. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | initial value problems for parabolic systems PDE with discontinuous coefficients or data strong coupling coupled capacities resolvent estimates regularity |
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