Premium
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.