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Elliptic boundary value problems with fractional regularity data : the first order approach / Alex Amenta, Pascal Auscher.
- Format:
- Book
- Author/Creator:
- Amenta, Alex, 1980- author.
- Auscher, Pascal, author.
- Series:
- CRM monograph series ; Volume 37.
- CRM Monograph Series ; Volume 37
- Language:
- English
- Subjects (All):
- Boundary value problems.
- Differential equations, Elliptic.
- Differential operators.
- Physical Description:
- 1 online resource (162 pages).
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island, USA : American Mathematical Society, [2018]
- Summary:
- 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.
- Contents:
- Cover
- Title page
- Back Cover.
- Notes:
- "Centre de Recherches Mathematiques, Montreal."
- Includes bibliographical references and index.
- Description based on print version record.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 1-4704-4668-5
- OCLC:
- 1031964139
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