Publikation: Discrete Fourier multipliers and cylindrical boundary value problems
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2011
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Zusammenfassung
We consider operator-valued boundary value problems in (0;2π)n with periodic or, more generally, v-periodic boundary conditions. Using the concept of discrete vector-valued Fourier multipliers, we give equivalent conditions for the unique solvability of the boundary value problem. As an application, we study vector-valued parabolic initial boundary value problems in cylindrical domains (0;2π)n x V with v-periodic boundary conditions in the cylindrical directions. We show that under suitable assumptions on the coefficients, we obtain maximal Lq-regularity for such problems.
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Fachgebiet (DDC)
510 Mathematik
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Discrete Fourier multipliers, maximal regularity, bounded cylindrical domains
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DENK, Robert, Tobias NAU, 2011. Discrete Fourier multipliers and cylindrical boundary value problemsBibTex
@techreport{Denk2011Discr-12627, year={2011}, series={Konstanzer Schriften in Mathematik}, title={Discrete Fourier multipliers and cylindrical boundary value problems}, number={279}, author={Denk, Robert and Nau, Tobias} }
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