A uniqueness theorem for the two-dimensional generalized Korteweg de- Vries equation (Q1176171)
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scientific article; zbMATH DE number 13549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A uniqueness theorem for the two-dimensional generalized Korteweg de- Vries equation |
scientific article; zbMATH DE number 13549 |
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A uniqueness theorem for the two-dimensional generalized Korteweg de- Vries equation (English)
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25 June 1992
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Using elementary techniques we prove that the solution, which is periodic in both \(x\) and \(y\), to the two-dimensional generalized KdV equation is unique. A theorem of continuous dependence of the solutions on the initial data is established. Some estimates of the solutions are also included.
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periodic solutions
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uniqueness
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generalized KdV equation
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