\(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations (Q1225227)
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scientific article; zbMATH DE number 3509012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations |
scientific article; zbMATH DE number 3509012 |
Statements
\(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations (English)
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1977
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Local \(L_p\)-\(L_{p'}\)-estimates are proved for certain Fourier integral operators. These estimates are then applied to obtain existence and uniqueness results in \(L_{p'}\), \(p'>2\), for the solution of some semilinear hyperbolic equations with variable coefficients.
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a-priori estimates
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Fourier integral operators
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existence
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uniqueness
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semilinear hyperbolic equations with variable coefficients
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