| Hardcover ISBN: | 978-1-4704-4250-7 |
| Product Code: | CRMM/37 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-4668-0 |
| Product Code: | CRMM/37.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Hardcover ISBN: | 978-1-4704-4250-7 |
| eBook: ISBN: | 978-1-4704-4668-0 |
| Product Code: | CRMM/37.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
| Hardcover ISBN: | 978-1-4704-4250-7 |
| Product Code: | CRMM/37 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-1-4704-4668-0 |
| Product Code: | CRMM/37.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Hardcover ISBN: | 978-1-4704-4250-7 |
| eBook ISBN: | 978-1-4704-4668-0 |
| Product Code: | CRMM/37.B |
| List Price: | $255.00 $192.50 |
| MAA Member Price: | $229.50 $173.25 |
| AMS Member Price: | $204.00 $154.00 |
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Book DetailsCRM Monograph SeriesVolume: 37; 2018; 152 ppMSC: Primary 35; 42; 47
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.
Titles in this series are co-published with the Centre de recherches mathématiques.
ReadershipGraduate students and researchers interested in elliptic PDEs, real harmonic analysis, and functional analysis.
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Table of Contents
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Chapters
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Introduction
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Function space preliminaries
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Operator theoretic preliminaries
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Adapted Besov–Hardy–Sobolev spaces
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Spaces adapted to perturbed Dirac operators
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Classification of solutions to Cauchy–Riemann systems and elliptic equations
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Applications to boundary value problems
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
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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.
Titles in this series are co-published with the Centre de recherches mathématiques.
Graduate students and researchers interested in elliptic PDEs, real harmonic analysis, and functional analysis.
-
Chapters
-
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
