2002 The nonlinear Klein-Gordon equation with mass decreasing to zero
Fabio Catalano
Adv. Differential Equations 7(9): 1025-1044 (2002). DOI: 10.57262/ade/1367241458

Abstract

We analyze the perturbed Klein-Gordon Cauchy problem in two space dimension, studying the limit of mass decreasing to zero. We prove a global existence result when the initial data are small and the nonlinearity is at least quadratic near the origin.

Citation

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Fabio Catalano. "The nonlinear Klein-Gordon equation with mass decreasing to zero." Adv. Differential Equations 7 (9) 1025 - 1044, 2002. https://doi.org/10.57262/ade/1367241458

Information

Published: 2002
First available in Project Euclid: 29 April 2013

zbMATH: 1035.35080
MathSciNet: MR1920371
Digital Object Identifier: 10.57262/ade/1367241458

Subjects:
Primary: 35L70
Secondary: 35B20

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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Vol.7 • No. 9 • 2002
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