Advances in Differential Equations

The nonlinear Klein-Gordon equation with mass decreasing to zero

Fabio Catalano

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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.

Article information

Source
Adv. Differential Equations Volume 7, Number 9 (2002), 1025-1044.

Dates
First available in Project Euclid: 29 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.ade/1367241458

Mathematical Reviews number (MathSciNet)
MR1920371

Zentralblatt MATH identifier
1035.35080

Subjects
Primary: 35L70: Nonlinear second-order hyperbolic equations
Secondary: 35B20: Perturbations

Citation

Catalano, Fabio. The nonlinear Klein-Gordon equation with mass decreasing to zero. Adv. Differential Equations 7 (2002), no. 9, 1025--1044. https://projecteuclid.org/euclid.ade/1367241458.


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