\(L_p\)-\(L_{p'}\)-estimates for Fourier integral operators related to hyperbolic equations
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.
semilinear hyperbolic equations with variable coefficients
scientific article; zbMATH DE number 3509012
scientific article