A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems (Q1881441)
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scientific article; zbMATH DE number 2106247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems |
scientific article; zbMATH DE number 2106247 |
Statements
A weighted pointwise estimate for two dimensional wave equations and its application to nonlinear systems (English)
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5 October 2004
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Weighted pointwise estimate of a classical solution to the initial value problem for two dimensional wave equation is proved. Using this result, the author gives the lower bound of the lifespan to classical solution for a nonlinear system of two wave semilinear equations for small initial data.
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wave equation
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two space dimension
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pointwise estimate
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lifespan
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