2 4 Fe b 20 05 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗

@inproceedings{Fang200524F,
  title={2 4 Fe b 20 05 Some Remarks on Strichartz Estimates for Homogeneous Wave Equation ∗},
  author={Daoyuan Fang and Chengbo Wang},
  year={2005}
}
We give several remarks on Strichartz estimates for homogeneous wave equation with special attention to the cases of Lx estimates, radial solutions and initial data from the inhomogeneous Sobolev spaces. In particular, we give the failure of the endpoint estimate L 4 n−1 t Lx for n = 2, 3 even for data in inhomogeneous Sobolev spaces. 

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References

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Showing 1-10 of 12 references

Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation

  • T. Tao
  • Comm. PDE
  • 2000
2 Excerpts

Machedon, On the Algebraic Properties of the Hn/2,1/2 Spaces

  • M. S. Klainerman
  • IMRN
  • 1998

Space - time Estimates for Null Forms and the Local Existence Theorem

  • M. Machedon S. Klainerman
  • Amer . J . Math .
  • 1998

L.Vega, A semilinear Dirac equation in H(R3) for s > 1

  • M. Escobedo
  • SIAM J. Math. Anal
  • 1997

Generalized Strichartz Inequalities for the Wave Equation

  • J. Ginibre, G. Velo
  • J. Func. Anal.,
  • 1995

Local regularity of nonlinear wave equations in three space dimensions

  • G. Ponce, T. Sideris
  • Comm. Part. Diff. Eq
  • 1993

Machedon, Space-time Estimates for Null Forms and the Local Existence Theorem, Comm

  • M. S. Klainerman
  • Pure Appl. Math.,
  • 1993

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