Time decay for the nonlinear beam equation

作者: Steven P. Levandosky , Walter A. Strauss

DOI: 10.4310/MAA.2000.V7.N3.A5

关键词: Statistical physicsNonlinear beamPhysicsTime decayClassical mechanics

摘要:

参考文章(10)
G. Velo, J. Ginibre, Scattering theory in the energy space for a class of nonlinear Schrödinger equations Journal de Mathématiques Pures et Appliquées. ,vol. 64, pp. 363- 401 ,(1985)
Steven Levandosky, Stability and Instability of Fourth-Order Solitary Waves Journal of Dynamics and Differential Equations. ,vol. 10, pp. 151- 188 ,(1998) , 10.1023/A:1022644629950
G. Velo, J. Ginibre, Scattering Theory in the Energy Space for a Class of Hartree Equations arXiv: Analysis of PDEs. ,(1998)
Cathleen S. Morawetz, Walter A. Strauss, Decay and scattering of solutions of a nonlinear relativistic wave equation Communications on Pure and Applied Mathematics. ,vol. 25, pp. 1- 31 ,(1972) , 10.1002/CPA.3160250103
Walter A. Strauss, Dispersal of waves vanishing on the boundary of an exterior domain Communications on Pure and Applied Mathematics. ,vol. 28, pp. 265- 278 ,(1975) , 10.1002/CPA.3160280205
Jeng-Eng Lin, Walter A. Strauss, Decay and scattering of solutions of a nonlinear Schrödinger equation Journal of Functional Analysis. ,vol. 30, pp. 245- 263 ,(1978) , 10.1016/0022-1236(78)90073-3
Time decay for the nonlinear Klein-Gordon equation Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 306, pp. 291- 296 ,(1968) , 10.1098/RSPA.1968.0151
Steven Paul Levandosky, Decay Estimates for Fourth Order Wave Equations Journal of Differential Equations. ,vol. 143, pp. 360- 413 ,(1998) , 10.1006/JDEQ.1997.3369
Tosio Kato, On nonlinear Schrödinger equations Annales De L Institut Henri Poincare-physique Theorique. ,vol. 46, pp. 113- 129 ,(1987)