Displaying similar documents to “Strichartz Type Estimates for Oscillatory Problems for Semilinear Wave Equation”

Decay of solutions of the wave equation in the exterior of several convex bodies

Mitsuru Ikawa (1988)

Annales de l'institut Fourier

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We study the decay of solutions to the wave equation in the exterior of several strictly convex bodies. A sufficient condition for exponential decay of the local energy is expressed in terms of the period and the Poincare map of periodic rays in the exterior domain.

Null Condition for Semilinear Wave Equation with Variable Coefficients

Catalano, Fabio (1999)

Serdica Mathematical Journal

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∗The author was partially supported by M.U.R.S.T. Progr. Nazionale “Problemi Non Lineari...” In this work we analyse the nonlinear Cauchy problem (∂tt − ∆)u(t, x) = ( λg + O(1/(1 + t + |x|)^a) ) ) ∇t,x u(t, x), ∇t,x u(t, x) ), whit initial data u(0, x) = e u0 (x), ut (0, x) = e u1 (x). We assume a ≥ 1, x ∈ R^n (n ≥ 3) and g the matrix related to the Minkowski space. It can be considerated a pertubation of the case when the quadratic term has constant coefficient...