A mixed problem with only integral boundary conditions for a hyperbolic equation (Q1774746)
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scientific article; zbMATH DE number 2168680
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed problem with only integral boundary conditions for a hyperbolic equation |
scientific article; zbMATH DE number 2168680 |
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A mixed problem with only integral boundary conditions for a hyperbolic equation (English)
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18 May 2005
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Summary: We investigate an initial boundary value problem for a second-order hyperbolic equation with only integral conditions. We show the existence, uniqueness, and continuous dependence of a strongly generalized solution. The proof is based on an energy inequality established in a nonclassical function space, and on the density of the range of the operator associated to the abstract formulation of the studied problemby introducing special smoothing operators.
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continuous dependence
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energy inequality
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nonclassical function space
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