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Global singularity structures of weak solutions to 4- semilinear dispersive wave equations. (English) Zbl 1082.35110

The Cauchy problem to a four-dimensional semilinear wave equation is discussed. Precise description of the structure and of the propagation of singularities of a global weak solution satisfying discontinuous initial data on the unit sphere is given.

MSC:

35L70 Second-order nonlinear hyperbolic equations
35L15 Initial value problems for second-order hyperbolic equations
35B65 Smoothness and regularity of solutions to PDEs
35A21 Singularity in context of PDEs
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