On the regularity of the solution of the Dirichlet problem for Hamilton-Jacobi equations. (Q976614)
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scientific article; zbMATH DE number 5720822
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the regularity of the solution of the Dirichlet problem for Hamilton-Jacobi equations. |
scientific article; zbMATH DE number 5720822 |
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On the regularity of the solution of the Dirichlet problem for Hamilton-Jacobi equations. (English)
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15 June 2010
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The Dirichlet problem for a class of Hamilton-Jacobi equations is considered and it is shown that if the viscosity solution is semiconcave near the boundary then it is globally semiconcave. As an application, the particular case of eikonal-type equations is discussed. Finally, a sort of stability property for the singular set of the semiconcave viscosity solution of Hamilton-Jacobi equations is described.
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Hamilton-Jacobi equation
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