Resolvent estimates in  W  −1, p   related to strongly coupled‐linear parabolic systems with coupled nonsmooth capacities | Zendy

Glitzky Annegret | Zendy; Hünlich Rolf | Zendy

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Resolvent estimates in W −1, p related to strongly coupled‐linear parabolic systems with coupled nonsmooth capacities

Author(s) -

Glitzky Annegret,

Hünlich Rolf

Publication year - 2007

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.886

Subject(s) - mathematics , resolvent , uniqueness , mathematical analysis , boundary value problem , boundary (topology)

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.

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