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Almost global existence for some semilinear wave equations. (English) Zbl 1031.35107

This paper is devoted to the almost global existence of solutions of three-dimensional quadrically semilinear wave equations with the use of classical invariance of the equations under translations and spatial rotation. Using these techniques, the authors can handle semilinear wave equations in Minkowski space or semilinear Dirichlet-wave equations in the exterior of a nontrapping obstacle.

MSC:

35L70 Second-order nonlinear hyperbolic equations
58J70 Invariance and symmetry properties for PDEs on manifolds
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References:

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