Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary (Q1262456)
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scientific article; zbMATH DE number 4124202
| Language | Label | Description | Also known as |
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| English | Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary |
scientific article; zbMATH DE number 4124202 |
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Trace regularity of the solutions of the wave equation with homogeneous Neumann boundary conditions and data supported away from the boundary (English)
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1989
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The authors consider the nonhomogeneous wave equation \(u_{tt}=\Delta u+f\) with homogeneous Neumann boundary conditions in a half space of dimension \(\geq 2\). They obtain an optimal regularity result for the (Dirichlet) trace of the solution. Additional regularity results are obtained, if the initial data and the nonhomogeneous term f are supported away from the boundary.
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trace regularity
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Neumann boundary conditions
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