On the existence of a classical solution of a mixed boundary problem for a second order one-dimensional hyperbolic equation. II (Q2774636)
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scientific article; zbMATH DE number 1711100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of a classical solution of a mixed boundary problem for a second order one-dimensional hyperbolic equation. II |
scientific article; zbMATH DE number 1711100 |
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26 February 2002
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a priori estimates
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On the existence of a classical solution of a mixed boundary problem for a second order one-dimensional hyperbolic equation. II (English)
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The uniqueness of a classical solution of a mixed problem for a hyperbolic equation with general self-adjoint boundary conditions is proved. The existence was proved in an earlier paper of the author [Differ. Uravn. 34, No. 5, 682--694 (1998; Zbl 0990.26191)]. A priori estimates are found which guarantee stability of solution with respect to initial conditions and right-hand side of the equation. Also the existence theorem is extended.
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