A nonlocal problem with integral conditions for a hyperbolic equation (Q2387966)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nonlocal problem with integral conditions for a hyperbolic equation |
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A nonlocal problem with integral conditions for a hyperbolic equation (English)
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5 September 2005
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One considers a Cauchy problem for the two dimensional hyperbolic equation where the solution has to verify a nonlocal integral condition, too. The stated problem cannot be reduced to a boundary value problem. Under certain conditions one proves a priori estimates and the existence and uniqueness of solutions in a Sobolev space.
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existence
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uniqueness
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