The Cauchy problem for weakly hyperbolic equations of second order (Q1306535)
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scientific article; zbMATH DE number 1347377
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem for weakly hyperbolic equations of second order |
scientific article; zbMATH DE number 1347377 |
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The Cauchy problem for weakly hyperbolic equations of second order (English)
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25 April 2000
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The author showed that there exists a unique local solution of the Cauchy problem for second order weakly hyperbolic equations under the assumptions that the coefficients satisfy logarithmic conditions. Though the solutions have large regularity loss, the author shows the existence theorem by a contraction mapping in a skillful weighted Sobolev space.
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unique local solution
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logarithmic conditions
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large regularity loss
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contraction mapping
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weighted Sobolev space
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