Constructs probabilistic strong solutions to radial cubic NLS on 3D ball in supercritical regime via gauge transforms and random averaging operators, improving Bourgain-Bulut.
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5 Pith papers cite this work, alongside 45 external citations. Polarity classification is still indexing.
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Pith papers citing it
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representative citing papers
A large deviations principle is established for rogue waves in the cubic nonlinear Schrödinger equation with randomized quasi-periodic initial data in dimensions d>1, holding for times O(ε^{-1-η}) under polynomial Fourier decay.
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.
Proves localized operator estimate for centered second-order Gaussian chaoses with scale window conditions, applicable to paracontrolled resonant products on R^d.
citing papers explorer
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Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball
Constructs probabilistic strong solutions to radial cubic NLS on 3D ball in supercritical regime via gauge transforms and random averaging operators, improving Bourgain-Bulut.
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Large Deviations for the Nonlinear Schrodinger Equation with Randomized Quasi-Periodic Initial Data in Higher Dimensions: Beyond the Critical Time Scale
A large deviations principle is established for rogue waves in the cubic nonlinear Schrödinger equation with randomized quasi-periodic initial data in dimensions d>1, holding for times O(ε^{-1-η}) under polynomial Fourier decay.
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Cancellations for dispersive PDEs with random initial data
Develops an arborification map on decorated trees to compute cancellations in random-data dispersive PDEs, enabling results on wave turbulence and 3D cubic wave equation Gibbs measure invariance.
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Localized Centered Second-Chaos Operator
Proves localized operator estimate for centered second-order Gaussian chaoses with scale window conditions, applicable to paracontrolled resonant products on R^d.
- Intrinsic Gaussian Tensor Geometry and Random Operator Spectra