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Author: Robert John Victor Jackson Publisher: American Mathematical Soc. ISBN: 082181835X Category : Mathematics Languages : en Pages : 246
Book Description
The work is devoted to the study of some geometric invariants which can be associated to a partial differential operator. Recently L. Hörmander introduced the notion of a subprincipal symbol for a pseudodifferential operator. The subprincipal symbol is an invariant for every pseudodifferential operator which maps sections of the 1/2 -density bundle [capital Greek]Omega 1/2([italic]X) to sections of the same bundle. The author proves that the sub-subprincipal symbol cannot exist for all pseudodifferential operators on [capital Greek]Omega 1/2([italic]X).
Author: Robert John Victor Jackson Publisher: American Mathematical Soc. ISBN: 082181835X Category : Mathematics Languages : en Pages : 246
Book Description
The work is devoted to the study of some geometric invariants which can be associated to a partial differential operator. Recently L. Hörmander introduced the notion of a subprincipal symbol for a pseudodifferential operator. The subprincipal symbol is an invariant for every pseudodifferential operator which maps sections of the 1/2 -density bundle [capital Greek]Omega 1/2([italic]X) to sections of the same bundle. The author proves that the sub-subprincipal symbol cannot exist for all pseudodifferential operators on [capital Greek]Omega 1/2([italic]X).
Author: Lars Hörmander Publisher: Springer Science & Business Media ISBN: 364200136X Category : Mathematics Languages : en Pages : 363
Book Description
From the reviews: "Volumes III and IV complete L. Hörmander's treatise on linear partial differential equations. They constitute the most complete and up-to-date account of this subject, by the author who has dominated it and made the most significant contributions in the last decades.....It is a superb book, which must be present in every mathematical library, and an indispensable tool for all - young and old - interested in the theory of partial differential operators." L. Boutet de Monvel in Bulletin of the American Mathematical Society, 1987 "This treatise is outstanding in every respect and must be counted among the great books in mathematics. It is certainly no easy reading (...) but a careful study is extremely rewarding for its wealth of ideas and techniques and the beauty of presentation." J. Brüning in Zentralblatt MATH, 1987 Honours awarded to Lars Hörmander: Fields Medal 1962, Speaker at International Congress 1970, Wolf Prize 1988, AMS Steele Prize 2006
Author: Iouri Egorov Publisher: Birkhäuser ISBN: 3034889003 Category : Mathematics Languages : en Pages : 360
Book Description
This book grew out of lecture notes based on the DMV seminar "Pseudo- Differential Operators, Singularities, Applications" held by the authors in Reisenburg-Günzburg, 12–19 July 1992. The modern theory of elliptic boundary value problems in domains having conical or edge singularities on the boundary as well as the classical theory of elliptic boundary value problems and the original Kondratiev theory are presented. This material forms the foundation for the second part of the book which contains a new construction of pseudo-differential operators with symbols corresponding to the singularities of the boundary of different dimensions. This allows in particular to obtain complete asymptotic expansions of solutions near these singularities.
Author: Publisher: ScholarlyEditions ISBN: 1490110119 Category : Mathematics Languages : en Pages : 1187
Book Description
Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Random Structures and Algorithms. The editors have built Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Random Structures and Algorithms in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Logic, Operations, and Computational Mathematics and Geometry: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author: H.G. Garnir Publisher: Springer Science & Business Media ISBN: 9400946066 Category : Mathematics Languages : en Pages : 400
Book Description
The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri butions which led recently to the birth of a new branch of Mathema tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.
Author: Robert John Victor Jackson
Author: Robert John Victor Jackson
Author: Lars Hörmander
Author: Library of Congress. Copyright Office
Author: Donald Clayton Spencer
Author: American Mathematical Society
Author: Bent E. Petersen
Author: Iouri Egorov
Author: 
Author: H.G. Garnir
Author: