Strichartz Type Estimates for Fractional Heat Equations

@inproceedings{BlairSmithSogge2009StrichartzTE,
  title={Strichartz Type Estimates for Fractional Heat Equations},
  author={Blair-Smith-Sogge},
  year={2009}
}
  • Blair-Smith-Sogge
  • Published 2009
We obtain Strichartz estimates for the fractional heat equations by using both the abstract Strichartz estimates of Keel-Tao and the HardyLittlewood-Sobolev inequality. We also prove an endpoint homogeneous Strichartz estimate via replacing L∞x (R ) by BMOx(R) and a parabolic homogeneous Strichartz estimate. Meanwhile, we generalize the Strichartz estimates by replacing the Lebesgue spaces with either Besov spaces or Sobolev spaces. Moreover, we establish the Strichartz estimates for the… CONTINUE READING

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Showing 1-10 of 32 references

Interpolation Theory, Function Spaces, Differential Operators

  • H. Triebel
  • North-Holland,
  • 1978
Highly Influential
4 Excerpts

Interpolation Spaces: An Introduction

  • J. Bergh, J. Löfström
  • Springer, Heidelberg,
  • 1976
Highly Influential
6 Excerpts

Quelques méthodes de résolution des problèmes aux limites non linéaires, (French) Paris: Dunod/Gauthier-Villars

  • J. L. Lions
  • 1969
Highly Influential
3 Excerpts

Sogge, On Strichartz estimates for Schrödinger operators in compact manifolds with boundary

  • M. D. Blair, C.D.H.F. Smith
  • Proc. Amer. Math. Soc
  • 2008
Highly Influential
5 Excerpts

Semilinear Schrödinger Equations, Courant Lecture Notes in Mathematics, Vol

  • T. Cazenave
  • 10. New York University Courant Institute of…
  • 2003
Highly Influential
5 Excerpts

Local smoothing of fourier integrals and CarlesonSj ö lin estimates

  • A. Seeger, C. D. Sogge
  • J . Amer . Math . Soc .
  • 2008

Inhomogeneous Strichartz estimates for the Schrödinger equations

  • M. C. Vilela
  • Trans. Amer. Math. Soc
  • 2007
3 Excerpts

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