Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations

Abstract

We give blow-up results for the Klein-Gordon equation and other perturbations of the semilinear wave equations with superlinear power nonlinearity, in one space dimension or in higher dimension under radial symmetry outside the origin.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1102.1328

References in corpus (2)

• Isolatedness of characteristic points at blow-up for a semilinear wave equation in one space dimension
• Dynamics near the threshold for blowup in the one-dimensional focusing nonlinear Klein-Gordon equation

Cited by in corpus (9)

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• Blow-up results for semilinear wave equations in the super-conformal case
• The blow-up rate for a non-scaling invariant semilinear heat equation
• The blow-up rate for strongly perturbed semilinear wave equations
• The blow-up rate for a non-scaling invariant semilinear wave equations in higher dimensions
• The blow-up rate for strongly perturbed semilinear wave equations in the conformal case
• Refined estimates of the blow-up profile for a strongly perturbed semilinear wave equations in one space dimension
• The blow-up rate for strongly perturbed semilinear wave equations in the conformal regime without a radial assumption
• Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation