Stability of Slow Blow-Up Solutions for the Critical Focussing Nonlinear Wave Equation on \(\mathbb {R}^{3+1}\)

In this brief survey we outline the recent advances on the stability issues of certain finite time type II blow-up solutions for the energy critical focusing wave equation Open image in new window in \(\mathbb {R}^{3+1}\) . Hereafter we use the convention

  • PDF / 4,738,336 Bytes
  • 329 Pages / 439.42 x 683.15 pts Page_size
  • 115 Downloads / 171 Views

DOWNLOAD

REPORT


Willy Dörfler · Marlis Hochbruck Dirk Hundertmark Wolfgang Reichel · Andreas Rieder Roland Schnaubelt Birgit Schörkhuber · Editors

Mathematics of Wave Phenomena

Trends in Mathematics Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference. Proposals for volumes can be submitted using the Online Book Project Submission Form at our website www.birkhauser-science.com. Material submitted for publication must be screened and prepared as follows: All contributions should undergo a reviewing process similar to that carried out by journals and be checked for correct use of language which, as a rule, is English. Articles without proofs, or which do not contain any significantly new results, should be rejected. High quality survey papers, however, are welcome. We expect the organizers to deliver manuscripts in a form that is essentially ready for direct reproduction. Any version of TEX is acceptable, but the entire collection of files must be in one particular dialect of TEX and unified according to simple instructions available from Birkhäuser. Furthermore, in order to guarantee the timely appearance of the proceedings it is essential that the final version of the entire material be submitted no later than one year after the conference.

More information about this series at http://www.springer.com/series/4961

Willy D¨orfler • Marlis Hochbruck • Dirk Hundertmark • Wolfgang Reichel • Andreas Rieder • Roland Schnaubelt • Birgit Sch¨orkhuber Editors

Mathematics of Wave Phenomena

Editors Willy D¨orfler Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Marlis Hochbruck Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Dirk Hundertmark Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Wolfgang Reichel Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Andreas Rieder Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Roland Schnaubelt Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

Birgit Sch¨orkhuber Karlsruhe Institute of Technology Baden-W¨urttemberg Karlsruhe, Germany

ISSN 2297-0215 ISSN 2297-024X (electronic) Trends in Mathematics ISBN 978-3-030-47173-6 ISBN 978-3-030-47174-3 (eBook) https://doi.org/10.1007/978-3-030-47174-3 Mathematics Subject Classification: 35-06, 35Lxx, 35Qxx, 65-06, 65Mxx, 65Nxx, 78-06 © Springer Nature Switzerland AG 2020 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, com