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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Establishes that the L^p(Ω; S_r) norm of a finite-order decoupled homogeneous Gaussian chaos operator is bounded by C_m (p+r)^{m/2} times the maximum oriented Schatten flattening norm of its kernel.
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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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Finite-Order Hilbertian Gaussian Random Tensor Estimates
Establishes that the L^p(Ω; S_r) norm of a finite-order decoupled homogeneous Gaussian chaos operator is bounded by C_m (p+r)^{m/2} times the maximum oriented Schatten flattening norm of its kernel.