Maximal Lp -regularity of non-local boundary value problems
Maximal Lp -regularity of non-local boundary value problems
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2015
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Monatshefte für Mathematik ; 176 (2015), 1. - pp. 53-80. - ISSN 0026-9255. - eISSN 1436-5081
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 Lp -regularity for such boundary value problems. An example is given by the reduced Stokes equation in waveguides.
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510 Mathematics
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R -boundedness, Maximal regularity, Boundary value problems, Pseudodifferential operators, Boutet de Monvel’s calculus, Waveguide
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DENK, Robert, Jörg SEILER, 2015. Maximal Lp -regularity of non-local boundary value problems. In: Monatshefte für Mathematik. 176(1), pp. 53-80. ISSN 0026-9255. eISSN 1436-5081. Available under: doi: 10.1007/s00605-014-0669-4BibTex
@article{Denk2015Maxim-30839, year={2015}, doi={10.1007/s00605-014-0669-4}, title={Maximal Lp -regularity of non-local boundary value problems}, number={1}, volume={176}, issn={0026-9255}, journal={Monatshefte für Mathematik}, pages={53--80}, author={Denk, Robert and Seiler, Jörg} }
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