Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure
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Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure by Pascal Auscher
In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents.“The book under review is both a useful tool and a useful reference for researchers on the topic” (Massimo Lanza de Cristoforis, zbMATH 1542.35146, 2024)
Pascal Auscher is professor of Mathematics in the Laboratoire de Mathématiques d’Orsay at the Université Paris-Saclay. He received his PhD in 1989 at Université Paris-Dauphine under the supervision of Yves Meyer. He is a specialist in harmonic analysis and contributed to the theory of wavelets and to partial differential equations. An outstanding contribution is his participation to the proof of the Kato conjecture in any dimension, which is a starting point for boundary value problems. He has launched a systematic theory of Hardy spaces associated to operators in relation to tent spaces, which is one core of the present monograph. He has recently served as director of the national institute for mathematical sciences and interactions (Insmi) at the national center for scientific research (CNRS).Moritz Egert is professor of Mathematics at the Technical University of Darmstadt. He received his PhD in 2015 in Darmstadt under the supervision ofRobert Haller and was subsequently Maître de Conférences in the Laboratoire de Mathématiques d’Orsay at the Université Paris-Saclay. He is a specialist in harmonic analysis and partial differential equations. In his research, he combines methods from harmonic analysis, operator theory and geometric measure theory to study partial differential equations in non-smooth settings.
| SKU | Unavailable |
| ISBN 13 | 9783031299728 |
| ISBN 10 | 3031299728 |
| Title | Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure |
| Author | Pascal Auscher |
| Series | Progress In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Birkhauser Verlag AG |
| Year published | 2023-07-28 |
| Number of pages | 310 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |