Self-similar and asymptotically self-similar solutions of nonlinear wave equations

Mathematische Annalen

Volumn 316, Issue 2, 2000, Pages 259-281

  Pecher, Hartmut ^a  

^a UNIVERSITY OF WUPPERTAL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034423113     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050013     Document Type: Article

References (9)

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3. Cazenave, Th., Weissler, F.B.: More self-similar solutions of the nonlinear Schrödinger equation. Nonlinear Diff. Equ. and Applications 5, 355-365 (1998)
4. Ginibre, J., Velo, G.: Scattering theory in the energy space for a class of non linear wave equations. Comm. Math. Physics 123, 535-573 (1989)
5. Mochizuki, K., Motai, T: The scattering theory for the nonlinear wave equation with small data.. J. Math. Kyoto Univ. 25, 703-715 (1985)
6. Ribaud, F., Youssfi, A.: Self-similar solutions of the nonlinear wave equations. Preprint
7. Stein, E.M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces. Princeton University Press, Princeton (1971)
8. Strauss, W.A.: Nonlinear scattering theory at low energy. J. Functional Analysis 41, 110-133 (1981)
9. Strichartz, R.S.: Convolutions with kernels having singularities on a sphere. Transactions AMS 148, 461-471 (1970)