Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data |
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| Authors: | Huicheng Yin |
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| Institution: | a Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China
b Institute of Mathematics, University of Potsdam, P.O. Box 60 15 53, D-14415 Potsdam, Germany |
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| Abstract: | We study the global singularity structure of solutions to 3-D semilinear wave equations with discontinuous initial data. More precisely, using Strichartz’ inequality we show that the solutions stay conormal after nonlinear interaction if the Cauchy data are conormal along a circle. |
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| Keywords: | 35L70 35L65 |
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