Asymptotics and analytic modes for the wave equation in similarity coordinates-Reference-Cited by-同舟云学术

Asymptotics and analytic modes for the wave equation in similarity coordinates

Published:2009-05-27 Issue:3 Volume:9 Page:511-523
ISSN:1424-3199
Container-title:Journal of Evolution Equations
language:en
Short-container-title:J. Evol. Equ.

Author:

Donninger Roland

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Link

http://link.springer.com/content/pdf/10.1007/s00028-009-0022-x.pdf

Reference12 articles.

1. Piotr Bizoń, Tadeusz Chmaj, Zbisław Tabor: On blowup for semilinear wave equations with a focusing nonlinearity. Nonlinearity 17(6), 2187–2201 (2004)

2. Roland Donninger. The radial wave operator in similarity coordinates. Preprint arXiv:0805.0520, 2008.

3. Klaus-Jochen Engel and Rainer Nagel. One-parameter semigroups for linear evolution equations, volume 194 of Graduate Texts in Mathematics. Springer-Verlag, New York, 2000. With contributions by S. Brendle, M. Campiti, T. Hahn, G. Metafune, G. Nickel, D. Pallara, C. Perazzoli, A. Rhandi, S. Romanelli and R. Schnaubelt.

4. Galaktionov A.V., Pohozaev S. I.: On similarity solutions and blow-up spectra for a semilinear wave equation. Quart. Appl. Math. 61(3), 583–600 (2003)

5. Frank Merle, Hatem Zaag: Determination of the blow-up rate for the semilinear wave equation. Amer. J. Math. 125(5), 1147–1164 (2003)

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1. Erratum to: Asymptotics and analytic modes for the wave equation in similarity coordinates;Journal of Evolution Equations;2015-01-07

2. Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations;Communications in Partial Differential Equations;2010-03-16

3. The radial wave operator in similarity coordinates;Journal of Mathematical Physics;2010-02