Strichartz Estimates For Asymmetric Wave Equation

This thesis is devoted to the study for the Strichartz estimate to the asymmetric wave equation with homogenous and inhomogenous cases.In the first part we present some remarks for the Strichartz estimate for asymmetric homogeneous wave equation by using the abstract Strichartz estimates of Keel-Tao and the method of Green function.In the second part we get the decay estimates in the Besov space and a local existence result in this space by using the Lr estimates for asymmetric homogeneous wave equation, and we also obtain the Strichartz estimates for homogeneous case.In the third part, combineing the Strichartz estimates for homogeneous case and Duhamel principle, we get Strichartz estimates for inhomogeneous asymmetric wave equation.Namely, we study the Cauchy problem for asymmetric wave equation, and obtain the Strichartz estimate to the asymmetric wave equation with homogenous and inhomogenous cases.