1. What this book is and is not.- 2. Brief Introduction.- 3.Overview of Proofs.- 4. Full Proof for the Heisenberg Group.- 5. Coefficients.- 6. Pseudo-differential Problems.- 7. Sums of Squares and Real Vector Fields.- 8. \bar{\partial}-Neumann and the Boundary Laplacian.- 9. Symmetric Degeneracies.- 10. Details of the Previous Chapter. -11. Non-symplectic Strategem ahe.- 12. Operators of Kohn Type Which Lose Derivatives.- 13. Non-linear Problems.- 14. Treves' Approach.- 15. Appendix.- Bibliography.
"Sinopsis" puede pertenecer a otra edición de este libro.
This book fills a real gap in the analytical literature. After many years and many results of analytic regularity for partial differential equations, the only access to the technique known as $(T^p)_\phi$ has remained embedded in the research papers themselves, making it difficult for a graduate student or a mature mathematician in another discipline to master the technique and use it to advantage. This monograph takes a particularly non-specialist approach, one might even say gentle, to smoothly bring the reader into the heart of the technique and its power, and ultimately to show many of the results it has been instrumental in proving. Another technique developed simultaneously by F. Treves is developed and compared and contrasted to ours.
The techniques developed here are tailored to proving real analytic regularity to solutions of sums of squares of vector fields with symplectic characteristic variety and others, real and complex. The motivation came from the field of several complex variables and the seminal work of J. J. Kohn. It has found application in non-degenerate (strictly pseudo-convex) and degenerate situations alike, linear and non-linear, partial and pseudo-differential equations, real and complex analysis. The technique is utterly elementary, involving powers of vector fields and carefully chosen localizing functions. No knowledge of advanced techniques, such as the FBI transform or the theory of hyperfunctions is required. In fact analyticity is proved using only $C^\infty$ techniques.
The book is intended for mathematicians from graduate students up, whether in analysis or not, who are curious which non-elliptic partial differential operators have the property that all solutions must be real analytic. Enough background is provided to prepare the reader with it for a clear understanding of the text, although this is not, and does not need to be, very extensive. In fact, it is very nearly true that if the reader is willing to accept the fact that pointwise bounds on the derivatives of a function are equivalent to bounds on the $L^2$ norms of its derivatives locally, the book should read easily.
"Sobre este título" puede pertenecer a otra edición de este libro.
EUR 29,66 gastos de envío desde Reino Unido a España
Destinos, gastos y plazos de envíoEUR 19,49 gastos de envío desde Alemania a España
Destinos, gastos y plazos de envíoLibrería: moluna, Greven, Alemania
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The exposition is generous and relaxed, allowing the reader to come to terms to the technique at their own pace. The main difficulty, localization, is approached directly from the beginning with simple examplesNumerous applications are included. Nº de ref. del artículo: 458487803
Cantidad disponible: Más de 20 disponibles
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility. 203 pp. Englisch. Nº de ref. del artículo: 9781441998125
Cantidad disponible: 2 disponibles
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility. Nº de ref. del artículo: 9781441998125
Cantidad disponible: 2 disponibles
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Condición: New. In. Nº de ref. del artículo: ria9781441998125_new
Cantidad disponible: Más de 20 disponibles
Librería: THE SAINT BOOKSTORE, Southport, Reino Unido
Hardback. Condición: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 489. Nº de ref. del artículo: C9781441998125
Cantidad disponible: Más de 20 disponibles
Librería: Revaluation Books, Exeter, Reino Unido
Hardcover. Condición: Brand New. 203 pages. 9.50x6.25x0.75 inches. In Stock. Nº de ref. del artículo: x-1441998128
Cantidad disponible: 2 disponibles
Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America
Condición: New. Nº de ref. del artículo: ABLIING23Mar2411530297774
Cantidad disponible: Más de 20 disponibles
Librería: Mispah books, Redhill, SURRE, Reino Unido
Hardcover. Condición: Like New. Like New. book. Nº de ref. del artículo: ERICA77314419981286
Cantidad disponible: 1 disponibles
Librería: OM Books, Sevilla, SE, España
Condición: Usado - bueno. Nº de ref. del artículo: 9781441998125
Cantidad disponible: 1 disponibles