|
|||||
|
|
Global singularity structure of weak solutions to 3-D semilinear dispersive wave equations with discontinuous initial data |
|
| Authors: | Huicheng Yin |
| Affiliation: | 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 |
| 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. |
| Keywords: | 35L70 35L65 |
| 本文献已被 ScienceDirect 等数据库收录！ | |