We investigate the R-boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are R-bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems. As a consequence, we obtain maximal L_p-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.

Maximal L_p-regularity of non-local boundary value problems

SEILER, Joerg
2015-01-01

Abstract

We investigate the R-boundedness of operator families belonging to the Boutet de Monvel calculus. In particular, we show that weakly and strongly parameter-dependent Green operators of nonpositive order are R-bounded. Such operators appear as resolvents of non-local (pseudodifferential) boundary value problems. As a consequence, we obtain maximal L_p-regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.
2015
176
1
53
80
http://arxiv.org/pdf/1407.2547v1.pdf
R-boundedness; maximal regularity; Waveguides; pseudodifferential operators; Boundary value problems
R. Denk; J. Seiler
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1505442
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