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Lin, Jeng-Eng; Strauss, Walter A.

Decay and scattering of solutions of a nonlinear Schrödinger equation. (English) Zbl 0395.35070

J. Funct. Anal. 30, 245-263 (1978).
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Cited in 2 Reviews
Cited in 98 Documents

MSC:

35P25 Scattering theory for PDEs
47A10 Spectrum, resolvent
35Q99 Partial differential equations of mathematical physics and other areas of application
35G25 Initial value problems for nonlinear higher-order PDEs
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs

Keywords:

Decay,Scattering; Nonlinear Schrödinger Equation
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\textit{J.-E. Lin} and \textit{W. A. Strauss}, J. Funct. Anal. 30, 245--263 (1978; Zbl 0395.35070)
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References:

[1] {\scJ. Ginibre and G. Velo}, On a class of nonlinear Schrödinger equations, preprint. · Zbl 0396.35029
[2] Lin, J.E., Time decay of two conservative equations, ()
[3] Morawetz, C.S., Notes on time decay and scattering for some hyperbolic problems, (1975), SIAM · Zbl 0303.35002
[4] Morawetz, C.S.; Strauss, W.A., Decay and scattering of solutions of a nonlinear relativistic wave equation, Comm. pure appl. math., 25, 1-31, (1972) · Zbl 0228.35055
[5] Pecher, H., Das verhalten globaler Lösungen nichtlinearer wellengleichungen für Grosse zeiten, () · Zbl 0265.35051
[6] Reed, M., Abstract non-linear wave equations, () · Zbl 0317.35002
[7] Segal, I.E., Nonlinear semigroups, Ann. of math., 78, 339-364, (1963)
[8] Strauss, W.A., On weak solutions of semi-linear hyperbolic equations, An. acad. brasil ci., 42, 645-651, (1970) · Zbl 0217.13104
[9] Strauss, W.A., Nonlinear scattering theory, (), 53-78 · Zbl 0297.35062
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.