Elliptic Boundary Value Problems with Fractional Regularity Data
The First Order Approach
Seiten
2018
American Mathematical Society (Verlag)
978-1-4704-4250-7 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-4250-7 (ISBN)
Examines the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called “first order approach” which uses minimal assumptions on the coefficients.
In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.
This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.
In this monograph the authors study the well-posedness of boundary value problems of Dirichlet and Neumann type for elliptic systems on the upper half-space with coefficients independent of the transversal variable and with boundary data in fractional Hardy-Sobolev and Besov spaces. The authors use the so-called ``first order approach'' which uses minimal assumptions on the coefficients and thus allows for complex coefficients and for systems of equations.
This self-contained exposition of the first order approach offers new results with detailed proofs in a clear and accessible way and will become a valuable reference for graduate students and researchers working in partial differential equations and harmonic analysis.
Alex Amenta, Delft University of Technology, The Netherlands. Pascal Auscher, Universite Paris-Sud, Orsay, France.
Introduction
Function space preliminaries
Operator theoretic preliminaries
Adapted Besov-Hardy-Sobolev spaces
Spaces adapted to perturbed Dirac operators
Classification of solutions to Cauchy-Riemann systems and elliptic equations
Applications to boundary value problems
Bibliography
Index.
| Erscheinungsdatum | 06.03.2018 |
|---|---|
| Reihe/Serie | CRM Monograph Series |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 550 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4704-4250-7 / 1470442507 |
| ISBN-13 | 978-1-4704-4250-7 / 9781470442507 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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