The energy-critical stochastic nonlinear Schrödinger equation: well-posedness and blow-up
Fuente:
arXiv
Saved in:
| Main Authors: | Millet, Annie, Roudenko, Svetlana |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Well-posedness of the focusing stochastic nonlinear Schrödinger equation: $L^2$-critical and supercritical cases
by: Millet, Annie, et al.
Published: (2025)
by: Millet, Annie, et al.
Published: (2025)
Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
by: Gnann, Manuel V., et al.
Published: (2022)
by: Gnann, Manuel V., et al.
Published: (2022)
Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
by: Brzeźniak, Zdzisław, et al.
Published: (2024)
by: Brzeźniak, Zdzisław, et al.
Published: (2024)
Large deviation principle for a stochastic nonlinear damped Schrodinger equation
by: Roy, Sandip, et al.
Published: (2025)
by: Roy, Sandip, et al.
Published: (2025)
Global well-posedness of the energy-critical stochastic nonlinear wave equations
by: Brun, Enguerrand, et al.
Published: (2023)
by: Brun, Enguerrand, et al.
Published: (2023)
Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation
by: Gnann, Manuel V., et al.
Published: (2024)
by: Gnann, Manuel V., et al.
Published: (2024)
Averaging principle for a slow-fast stochastic nonlinear fractional Schrödinger equation
by: Mohan, Manil T., et al.
Published: (2026)
by: Mohan, Manil T., et al.
Published: (2026)
Stationary solutions for the nonlinear Schrödinger equation
by: Ferrario, Benedetta, et al.
Published: (2023)
by: Ferrario, Benedetta, et al.
Published: (2023)
Probabilistic well-posedness of dispersive PDEs beyond variance blowup I: Benjamin-Bona-Mahony equation
by: Li, Guopeng, et al.
Published: (2025)
by: Li, Guopeng, et al.
Published: (2025)
Uniqueness results of a nonlinear stochastic diffusion-convection equation with reflection
by: Sapountzoglou, Niklas
Published: (2025)
by: Sapountzoglou, Niklas
Published: (2025)
On the well-posedness of (nonlinear) rough continuity equations
by: Galeati, Lucio, et al.
Published: (2025)
by: Galeati, Lucio, et al.
Published: (2025)
On the wellposedness for periodic nonlinear Schrödinger equations with white noise dispersion
by: Stewart, Gavin
Published: (2022)
by: Stewart, Gavin
Published: (2022)
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation
by: Li, Guopeng, et al.
Published: (2023)
by: Li, Guopeng, et al.
Published: (2023)
Weak stability by noise for approximations of doubly nonlinear evolution equations
by: Orrieri, Carlo, et al.
Published: (2025)
by: Orrieri, Carlo, et al.
Published: (2025)
Long time behavior of the stochastic 2D Navier-Stokes equations
by: Ferrario, Benedetta, et al.
Published: (2025)
by: Ferrario, Benedetta, et al.
Published: (2025)
Higher order expansion for the probabilistic local well-posedness theory for a cubic nonlinear Schrödinger equation
by: Casteras, Jean-Baptiste, et al.
Published: (2024)
by: Casteras, Jean-Baptiste, et al.
Published: (2024)
Weak well-posedness by transport noise for a class of 2D fluid dynamics equations
by: Galeati, Lucio, et al.
Published: (2023)
by: Galeati, Lucio, et al.
Published: (2023)
Well-posedness of stochastic evolution equations with Hölder continuous noise
by: Schmitz, Kerstin, et al.
Published: (2024)
by: Schmitz, Kerstin, et al.
Published: (2024)
Regularization by Nonlinear Noise for PDEs: Well-posedness and Finite Time Extinction
by: Hong, Wei, et al.
Published: (2024)
by: Hong, Wei, et al.
Published: (2024)
Global martingale solutions for stochastic Shigesada-Kawasaki-Teramoto population models
by: Braukhoff, Marcel, et al.
Published: (2022)
by: Braukhoff, Marcel, et al.
Published: (2022)
On the support of solutions to nonlinear stochastic heat equations
by: Han, Beom-Seok, et al.
Published: (2024)
by: Han, Beom-Seok, et al.
Published: (2024)
On growth of Sobolev norms for periodic nonlinear Schrödinger and generalised Korteweg-de Vries equations under critical Gibbs dynamics
by: Höfer, Fabian, et al.
Published: (2024)
by: Höfer, Fabian, et al.
Published: (2024)
A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise
by: Zelati, Michele Coti, et al.
Published: (2025)
by: Zelati, Michele Coti, et al.
Published: (2025)
Strong well-posedness for a stochastic fluid-rigid body system via stochastic maximal regularity
by: Brandt, Felix, et al.
Published: (2025)
by: Brandt, Felix, et al.
Published: (2025)
Invariant Gibbs measures for the one-dimensional quintic nonlinear Schrödinger equation in infinite volume
by: Bringmann, Bjoern, et al.
Published: (2025)
by: Bringmann, Bjoern, et al.
Published: (2025)
Well-posedness and large deviations of fractional McKean-Vlasov stochastic reaction-diffusion equations on unbounded domains
by: Chen, Zhang, et al.
Published: (2024)
by: Chen, Zhang, et al.
Published: (2024)
Strong well-posedness of the two-dimensional stochastic Navier-Stokes equation on moving domains
by: Chen, Ping, et al.
Published: (2025)
by: Chen, Ping, et al.
Published: (2025)
Scattering for Stochastic Nonlinear Schrödinger Equations with additive noise
by: Başakoğlu, Engin, et al.
Published: (2024)
by: Başakoğlu, Engin, et al.
Published: (2024)
Quasi invariant Gaussian measures for the nonlinear Schrödinger equation on $\mathbb T^2$
by: Tolomeo, Leonardo, et al.
Published: (2025)
by: Tolomeo, Leonardo, et al.
Published: (2025)
Weak uniqueness by noise for singular stochastic PDEs
by: Bertacco, Federico, et al.
Published: (2023)
by: Bertacco, Federico, et al.
Published: (2023)
Pathwise uniqueness by noise for singular stochastic PDEs
by: Addona, Davide, et al.
Published: (2025)
by: Addona, Davide, et al.
Published: (2025)
Well-posedness of the obstacle problem for generalized Dean-Kawasaki equation
by: Liu, Ruoyang, et al.
Published: (2026)
by: Liu, Ruoyang, et al.
Published: (2026)
Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS
by: Oh, Tadahiro, et al.
Published: (2025)
by: Oh, Tadahiro, et al.
Published: (2025)
Multi-solitons to focusing mass-supercritical stochastic nonlinear Schrödinger equations
by: Röckner, Michael, et al.
Published: (2025)
by: Röckner, Michael, et al.
Published: (2025)
The primitive equations with rough transport noise: Global well-posedness and regularity
by: Agresti, Antonio
Published: (2023)
by: Agresti, Antonio
Published: (2023)
On existence of local and global strong solutions for the stochastic tamed Navier-Stokes equations on $\mathbb{R}^3$
by: Podder, Bikram, et al.
Published: (2026)
by: Podder, Bikram, et al.
Published: (2026)
Probabilistic well-posedeness for the nonlinear Schrödinger equation on the $2d$ sphere I: positive regularities
by: Burq, Nicolas, et al.
Published: (2024)
by: Burq, Nicolas, et al.
Published: (2024)
Well-posedness of a reaction-diffusion model with stochastic dynamical boundary conditions
by: Maurelli, Mario, et al.
Published: (2023)
by: Maurelli, Mario, et al.
Published: (2023)
Well-posedness of the Stochastic Degasperis-Procesi Equation
by: Arruda, Lynnyngs K., et al.
Published: (2024)
by: Arruda, Lynnyngs K., et al.
Published: (2024)
Strong solutions for a class of stochastic thermo-magneto-hydrodynamic-type systems with multiplicative noise
by: Soenjaya, Agus L., et al.
Published: (2025)
by: Soenjaya, Agus L., et al.
Published: (2025)
Similar Items
-
Well-posedness of the focusing stochastic nonlinear Schrödinger equation: $L^2$-critical and supercritical cases
by: Millet, Annie, et al.
Published: (2025) -
Well-posedness of a parametrically forced nonlinear Schrödinger equation driven by translation-invariant noise
by: Gnann, Manuel V., et al.
Published: (2022) -
Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
by: Brzeźniak, Zdzisław, et al.
Published: (2024) -
Large deviation principle for a stochastic nonlinear damped Schrodinger equation
by: Roy, Sandip, et al.
Published: (2025) -
Global well-posedness of the energy-critical stochastic nonlinear wave equations
by: Brun, Enguerrand, et al.
Published: (2023)