Kneser's theorem for hyperbolic equation (Q760605)
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scientific article; zbMATH DE number 3884644
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Kneser's theorem for hyperbolic equation |
scientific article; zbMATH DE number 3884644 |
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Kneser's theorem for hyperbolic equation (English)
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1984
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Using a long and tedious estimate, the author proves that the set of solutions of a characteristic initial value problem for the hyperbolic equation \(u_{xy}=f(x,y,u,u_ x,u_ y)\) in a Banach space is non- empty, compact and connected. The existence of a solution for such a problem is well known.
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Kneser's theorem
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Caratheodory condition
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estimate
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characteristic initial value problem
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0.8729497
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0.8668841
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0.8623568
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0.8623146
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0.85281086
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