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 admin note: substantial text overlap with arXiv:1102.1328

Cited by in corpus (6)

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• The blow-up rate for a non-scaling invariant semilinear heat equation
• 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
• Prescribing the center of mass of a multi-soliton solution for a perturbed semilinear wave equation
• Refined estimates of the blow-up profile for a strongly perturbed semilinear wave equations in one space dimension