Remarks on a weighted energy estimate and its application to nonlinear wave equations in one space dimension |
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Authors: | Makoto Nakamura |
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Affiliation: | Faculty of Science, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan |
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Abstract: | A weighted energy estimate with tangential derivatives on the light cone is applied for the Cauchy problem of semilinear wave equations with the null conditions in one space dimension. The well-posedness and lifespan of the solutions are considered based on the vector field method. |
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Keywords: | 35L70 |
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