The asymptotic behaviour of solutions for a class of quasilinear wave equations with cubic nonlinearity in two space dimensions |
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Authors: | Yin Huicheng |
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Affiliation: | (1) Department of Mathematics, Nanjing University, 210093 Nanjing, China |
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Abstract: | For a class of quasilinear wave equations with small initial data, first we give the lower bound of lifespan of classical solutions, then we discuss the long time asymptotic behaviour of solutions away from the blowup time. This project is supported by the Tianyuan Foundation of China and Laburay of Mathematics for Nonlinear Problems, Fudan University. |
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Keywords: | Quasilinear wave equation lifespan nonlinear geometric optics |
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