The Cauchy problem for an axially symmetric equation and the Schwarz potential conjecture for the torus (Q1589703)
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scientific article; zbMATH DE number 1542455
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem for an axially symmetric equation and the Schwarz potential conjecture for the torus |
scientific article; zbMATH DE number 1542455 |
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The Cauchy problem for an axially symmetric equation and the Schwarz potential conjecture for the torus (English)
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6 August 2001
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The paper deals with the Cauchy problem for the axially symmetric equation \(\partial_x^2 u+\partial_y^2 u +(k/x) \partial_x u=0\) with entire Cauchy data given on an initial plane or on an initial sphere. The problem is solved and possible singularities are discussed.
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Cauchy problem
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holomorphic partial differential equation
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singularity
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