Strong solutions for a class of quasi-linear degenerated hyberbolic equations (Q2720931)
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scientific article; zbMATH DE number 1611734
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong solutions for a class of quasi-linear degenerated hyberbolic equations |
scientific article; zbMATH DE number 1611734 |
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1 July 2001
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generalized and strong solutions
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Strong solutions for a class of quasi-linear degenerated hyberbolic equations (English)
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The author considers a boundary value problem (B) for a second-order semilinear hyperbolic equation in the plane, degenerating on the line \( y=0 \). The notions of generalized and strong solutions are defined for (B). Under several restrictions on the nonlinear term \( f(x,y,u) \) results about the existence of a generalized solution of (B), about the coincidence of the generalized solution with the strong solution and about the unicity of the generalized solution are proposed.
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0.9174720644950868
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