The existence and uniqueness of a new boundary value problem (type of problem ``E'') for linear system equations of the mixed hyperbolic-elliptic type in the multivariate dimension with the changing time direction (Q304950)
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scientific article; zbMATH DE number 6619890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence and uniqueness of a new boundary value problem (type of problem ``E'') for linear system equations of the mixed hyperbolic-elliptic type in the multivariate dimension with the changing time direction |
scientific article; zbMATH DE number 6619890 |
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The existence and uniqueness of a new boundary value problem (type of problem ``E'') for linear system equations of the mixed hyperbolic-elliptic type in the multivariate dimension with the changing time direction (English)
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26 August 2016
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Summary: The existence and uniqueness of the boundary value problem for linear systems equations of the mixed hyperbolic-elliptic type in the multivariate domain with the changing time direction are studied. Applying methods of functional analysis, ``\(\varepsilon\)-regularizing'' continuation by the parameter and by means of prior estimates, the existence and uniqueness of generalized and regular solutions of a boundary problem are established in a weighted Sobolev space.
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weighted Sobolev space
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