Global wellposedness for the energy-critical Zakharov system below the ground state

@article{Candy2020GlobalWF,
  title={Global wellposedness for the energy-critical Zakharov system below the ground state},
  author={Timothy Candy and Sebastian Herr and Kenji Nakanishi},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
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7 Citations
Background Citations
3
Methods Citations
2

7 Citations

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The Zakharov system in dimension $ d \geq 4$

. The sharp range of Sobolev spaces is determined in which the Cauchy problem for the classi-cal Zakharov system is well-posed, which includes existence of solutions, uniqueness, persistence of…

MATRIX-MFO Tandem Workshop/Small Collaboration: Rough Wave Equations (hybrid meeting)

  • 2021

References

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The Zakharov system in dimension $d \geqslant 4$

The sharp range of Sobolev spaces is determined in which the Cauchy problem for the classical Zakharov system is well-posed, which includes existence of solutions, uniqueness, persistence of initial…

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We prove, for the energy critical, focusing NLS, that for data whose energy is smaller than that of the standing wave, and whose homogeneous Sobolev norm H^1 is smaller than that of the standing wave…

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We consider Wave Maps into the sphere and give a new proof of small data global well-posedness and scattering in the critical Besov space, in any space dimension $$n \geqslant 2$$n⩾2. We use an…

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We obtain global well-posedness, scattering, and global $L^{\frac{2(n+2)}{n-2}}_{t,x}$ spacetime bounds for energy-space solutions to the energy-critical nonlinear Schrodinger equation in $\R_t\times…

Well-posedness and scattering for the KP-II equation in a critical space