On a bilinear Strichartz estimate on irrational tori and some application

@article{Fan2016OnAB,
  title={On a bilinear Strichartz estimate on irrational tori and some application},
  author={C. Fan and G. Staffilani and H. Wang and B. Wilson},
  journal={arXiv: Analysis of PDEs},
  year={2016}
}
  • C. Fan, G. Staffilani, +1 author B. Wilson
  • Published 2016
  • Mathematics
  • arXiv: Analysis of PDEs
  • We prove a bilinear Strichartz type estimate for irrational tori via a decoupling type argument, \cite{bourgain2014proof}, recovering and generalizing the result of \cite{de2006global}. As a corollary, we derive a global well-posedness result for the cubic defocusing NLS on two dimensional irrational tori with data of infinite energy. 
    12 Citations
    Growth of solutions to NLS on irrational tori
    • 11
    • PDF
    Stability of the Cubic Nonlinear Schrodinger Equation on Irrational Tori.
    • 2
    • PDF
    On the global well-posedness for the periodic quintic nonlinear Schr\"odinger equation
    • PDF
    WELL-POSEDNESS FOR THE CUBIC NONLINEAR SCHRÖDINGER EQUATIONS ON TORI
    Well-posedness for energy-critical nonlinear Schr\"odinger equation on waveguide manifold
    • 2
    • PDF
    Effective $l^2$ decoupling for the parabola
    • 6
    • PDF
    Long time dynamics for defocusing cubic NLS on three dimensional product space
    • 1
    • Highly Influenced
    • PDF
    The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]
    • 18
    • PDF
    Global Well-Posedness of the Energy-Critical Nonlinear Schr\"odinger Equation on $\mathbb{T}^4$
    • 4
    • PDF

    References

    SHOWING 1-10 OF 16 REFERENCES
    Scale invariant Strichartz estimates on tori and applications
    • 39
    • PDF
    A bilinear oscillatory integral estimate and bilinear refinements to Strichartz estimates on closed manifolds
    • 24
    • Highly Influential
    • PDF
    A trilinear restriction estimate with sharp dependence on transversality
    • 6
    • PDF
    Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
    • 83
    • Highly Influential
    • PDF
    A study guide for the l2 decoupling theorem
    • 26
    • Highly Influential
    • PDF
    Global well-posedness of the energy-critical nonlinear Schrödinger equation with small initial data in $H^1(\mathbb{T}^3)$
    • 91
    • Highly Influential
    • PDF
    The proof of the $l^2$ Decoupling Conjecture
    • 182
    • Highly Influential
    • PDF
    Almost conservation laws and global rough solutions to a Nonlinear Schr
    • 205
    • PDF