Abstract

In this paper, the propagation and interaction of singularities of solution to semilinearwave equation in higher space dimension are discussed. An estimate of regularity of solutionshas been obtained. Besides, the goneral conclusion is applied to analyzing the constructureof singularities of solutions when several bicharacteristics bearing singularities intersect witheach other, and to discussing the propagation of singularities when three progressive wavesmeet together.

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