Displaying similar documents to “Local existence of a solution of a semi-linear wave equation in a neighborhood of initial characteristic hypersurfaces”

Strichartz Type Estimates for Oscillatory Problems for Semilinear Wave Equation

Di Pomponio, Stefania (2000)

Serdica Mathematical Journal

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The author is partially supported by: M. U. R. S. T. Prog. Nazionale “Problemi e Metodi nella Teoria delle Equazioni Iperboliche”. We treat the oscillatory problem for semilinear wave equation. The oscillatory initial data are of the type u(0, x) = h(x) + ε^(σ+1) * e^(il(x)/ε) * b0 (ε, x) ∂t u(0, x) = ε^σ * e^(il(x)/ε) * b1(ε, x). By using suitable variants of Strichartz estimate we extend the results from [6] on a priori estimates of the approximations of...