Elliptic Boundary Value Problems with Fractional Regularity Data: The First Order Approach

A co-publication of the AMS and Centre de Recherches Mathématiques 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.

• ISBN: 9781470442507
• Editorial: AMERICAN MATHEMATICAL SOCIETY
• Encuadernacion: Tela
• Páginas: 152
• Fecha Publicación: 01/01/2018
• Nº Volúmenes: 1
• Idioma: