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On growth of Sobolev norms for periodic nonlinear Schr\"{o} dinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics
F Höfer, NA Nikov - arxiv preprint arxiv:2412.08630, 2024 - arxiv.org
We prove logarithmic growth bounds on Sobolev norms of the focusing mass-critical NLS
and gKdV equations on the torus, which hold almost surely under the focusing Gibbs …
and gKdV equations on the torus, which hold almost surely under the focusing Gibbs …
Wave maps in dimension with an external forcing
ZĹ BrzeĹşniak, J Jendrej, N Rana - arxiv preprint arxiv:2404.09195, 2024 - arxiv.org
This paper aims to establish the local and global well-posedness theory in $ L^ 1$, inspired
by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave …
by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave …
Wave maps in dimension with an external forcing
Z Brzeźniak, J Jendrej, N Rana - 2024 - eprints.whiterose.ac.uk
This paper aims to establish the local and global well-posedness theory in $ L^ 1$, inspired
by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave …
by the approach of Keel and Tao [Internat. Math. Res. Notices, 1998], for the forced wave …