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November 2008 The lifespan of solutions to nonlinear Schrödinger and Klein-Gordon equations
Hideaki SUNAGAWA
Hokkaido Math. J. 37(4): 825-838 (November 2008). DOI: 10.14492/hokmj/1249046371

Abstract

Precise information on the lifespan sometimes tells us how the nonlinearity affects large time behavior of solutions to nonlinear evolution equations. As pointed out by John and Hörmander in 1987, there are surprising connections between the lifespan and the null condition in the wave equation case. In this paper we give a review of analogous lifespan estimates for nonlinear Schrödinger and Klein-Gordon equations. We also discuss how this viewpoint could give a unified understanding of many previous results.

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Hideaki SUNAGAWA. "The lifespan of solutions to nonlinear Schrödinger and Klein-Gordon equations." Hokkaido Math. J. 37 (4) 825 - 838, November 2008. https://doi.org/10.14492/hokmj/1249046371

Information

Published: November 2008
First available in Project Euclid: 31 July 2009

zbMATH: 1178.35087
MathSciNet: MR2474178
Digital Object Identifier: 10.14492/hokmj/1249046371

Subjects:
Primary: 35B30
Secondary: 35B40, 35L67, 35L70, 35Q55

Rights: Copyright © 2008 Hokkaido University, Department of Mathematics

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Vol.37 • No. 4 • November 2008
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