The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind (Q5919915)
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scientific article; zbMATH DE number 5491778
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind |
scientific article; zbMATH DE number 5491778 |
Statements
The Gellerstedt problem for a parabolic-hyperbolic equation of the second kind (English)
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15 January 2009
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Summary: We investigate the well-posedness theory for the Gellerstedt problem, which consists of a singular second-order partial differential equation of mixed parabolic-hyperbolic type. Our proof relies on a new representation formula which reduces the problem to a Volterra integral equation of the second kind.
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boundary value problems
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gellerstedt problem
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differential equations
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hyperbolic
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second kind
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generalised solution
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class \(R\)
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modified Cauchy problem
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parabolic-hyperbolic type
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Volterra integral equation
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hypergeometric identity
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