On the Cauchy Problem for Noneffectively Hyperbolic Operators, a Transition Case

We discuss the well-posedness of the Cauchy problem for noneffectively hyperbolic operators assuming that the spectral structure of the Hamilton map changes across a submanifold of codimension 1 of the double characteristic manifold. Under the assumption

  • PDF / 3,479,379 Bytes
  • 390 Pages / 439.43 x 683.15 pts Page_size
  • 44 Downloads / 242 Views

DOWNLOAD

REPORT


Massimo Cicognani Ferruccio Colombini Daniele Del Santo  Editors

Studies in Phase Space Analysis with Applications to PDEs

Progress in Nonlinear Differential Equations and Their Applications Volume 84 Editor Haim Brezis Université Pierre et Marie Curie Paris, France and Rutgers University New Brunswick, NJ, USA Editorial Board Antonio Ambrosetti, Scuola Internationale Superiore di Studi Avanzati, Trieste, Italy A. Bahri, Rutgers University, New Brunswick, NJ, USA Felix Browder, Rutgers University, New Brunswick, NJ, USA Luis Caffarelli, The University of Texas, Austin, TX, USA Lawrence C. Evans, University of California, Berkeley, CA, USA Mariano Giaquinta, University of Pisa, Pisa, Italy David Kinderlehrer, Carnegie-Mellon University, Pittsburgh, PA, USA Sergiu Klainerman, Princeton University, NJ, USA Robert Kohn, New York University, NY, USA P. L. Lions, University of Paris IX, Paris, France Jean Mawhin, Université Catholique de Louvain, Louvain-la-Neuve, Belgium Louis Nirenberg, New York University, NY, USA Lambertus Peletier, University of Leiden, Leiden, Netherlands Paul Rabinowitz, University of Wisconsin, Madison, WI, USA John Toland, University of Bath, Bath, England

For further volumes: http://www.springer.com/series/4889

Massimo Cicognani Daniele Del Santo



Ferruccio Colombini

Editors

Studies in Phase Space Analysis with Applications to PDEs

Editors Massimo Cicognani Dipartimento di Matematica Università di Bologna Bologna, Italy

Ferruccio Colombini Dipartimento di Matematica Università di Pisa Pisa, Italy

Daniele Del Santo Dipartimento di Matematica e Geoscienze Università di Trieste Trieste, Italy

ISBN 978-1-4614-6347-4 ISBN 978-1-4614-6348-1 (ebook) DOI 10.1007/978-1-4614-6348-1 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013931265 Mathematics Subject Classification (2010): 26D10, 35A23, 35A30, 35B30, 35B40, 35B45, 35B60, 35B65, 35J10, 35J75, 35K05, 35K10, 35L15, 35L50, 35L99, 35P25, 35Q30, 35Q40, 35Q41, 35Q53, 35Q55, 35R45, 35S05, 35S30, 42C15, 46E35, 47A40, 47A60, 47G30, 76D03, 81Q05, 81U40 c Springer Science+Business Media New York 2013  This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtai

Data Loading...