Characteristic Strichartz Estimates for the Wave Equation

نویسندگان

  • Allan Greenleaf
  • ALLAN GREENLEAF
چکیده

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ENDPOINT STRICHARTZ ESTIMATES By MARKUS KEEL and TERENCE TAO

We prove an abstract Strichartz estimate, which implies previously unknown endpoint Strichartz estimates for the wave equation (in dimension n 4) and the Schrödinger equation (in dimension n 3). Three other applications are discussed: local existence for a nonlinear wave equation; and Strichartz-type estimates for more general dispersive equations and for the kinetic transport equation.

متن کامل

Strichartz estimates for the wave equation on Riemannian symmetric manifolds

We prove Strichartz type estimates for solutions of the homogeneous wave equation on Riemannian symmetric spaces. Our results generalize those of Ginibre and Velo in [7].

متن کامل

Strichartz Estimates for Wave Equations with Charge Transfer Hamiltonians

We prove Strichartz estimates (both regular and reversed) for a scattering state to the wave equation with a charge transfer Hamiltonian in R3: ∂ttu− ∆u + m ∑ j=1 Vj (x− ~vjt)u = 0. The energy estimate and the local energy decay of a scattering state are also established. In order to study nonlinear multisoltion systems, we will present the inhomogeneous generalizations of Strichartz estimates ...

متن کامل

Strichartz Estimates for the Wave Equation on Flat Cones

We consider the solution operator for the wave equation on the flat Euclidean cone over the circle of radius ρ > 0, the manifold R+ × ( R / 2πρZ ) equipped with the metric g(r, θ) = dr2 + r2 dθ2. Using explicit representations of the solution operator in regions related to flat wave propagation and diffraction by the cone point, we prove dispersive estimates and hence scale invariant Strichartz...

متن کامل

Some Remarks on Strichartz Estimates for Homogeneous Wave Equation

In this paper, we give several remarks on Strichartz estimates for homogeneous wave equation. In particular, we show that the endpoint L4t L ∞ x estimate fail to be hold for n = 2 in general. When the data is radial, we prove the endpoint L2t L ∞ x estimate for n ≥ 3, and the L q tL ∞ x estimate with 2 < q < ∞ for n = 2.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999