Probabilistic pointwise convergence problem of Schrödinger equations on manifolds
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Publication:4992920
DOI10.1090/proc/15440zbMath1466.35104OpenAlexW3163165477MaRDI QIDQ4992920
JunFang Wang, Xiangqian Yan, Wei Yan
Publication date: 10 June 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/proc/15440
Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10)
Cites Work
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- Almost sure well-posedness of the cubic nonlinear Schrödinger equation below \(L^{2}(\mathbb{T})\)
- Invariant weighted Wiener measures and almost sure global well-posedness for the periodic derivative NLS
- The Cauchy problem for the Hartree equations under random influences
- Almost sure well-posedness for the periodic 3D quintic nonlinear Schrödinger equation below the energy space
- A note on the Schrödinger maximal function
- Coherence on fractals versus pointwise convergence for the Schrödinger equation
- Random-data Cauchy problem for the Navier-Stokes equations on \(\mathbb T^3\)
- Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity
- Random data Cauchy theory for the generalized incompressible Navier-Stokes equations
- Random data Cauchy theory for supercritical wave equations. II. A global existence result
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Regularity of solutions to the Schrödinger equation
- Statistical mechanics of the nonlinear Schrödinger equation
- Periodic nonlinear Schrödinger equation and invariant measures
- A sharp bilinear restriction estimate for paraboloids
- Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
- Problems on pointwise convergence of solutions to the Schrödinger equation
- A remark on Schrödinger operators
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- A bilinear approach to cone multipliers. II: Applications
- Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on \(\mathbb R^d\), \(d=4\) and \(5\)
- Maximal estimates for Schrödinger equations with inverse-square potential
- Random data Cauchy problem for the fourth order Schrödinger equation with the second order derivative nonlinearities
- Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
- A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
- On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities
- On the Schrödinger maximal function in higher dimension
- An improved maximal inequality for 2D fractional order Schrödinger operators
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- Random data Cauchy theory for the incompressible three dimensional Navier–Stokes equations
- Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³
- Pointwise convergence of solutions to the nonelliptic Schr\"odinger equation
- Pointwise convergence of solutions to Schr\"odinger equations
- Schrodinger Equations: Pointwise Convergence to the Initial Data
- POINTWISE CONVERGENCE OF SCHRÖDINGER SOLUTIONS AND MULTILINEAR REFINED STRICHARTZ ESTIMATES
- Pointwise Convergence of the Schrödinger Flow
- Pointwise Convergence of Solutions to the Schrödinger Equation on Manifolds
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
- Almost Sure Existence of Global Weak Solutions for Supercritical Navier--Stokes Equations
- On the boundedness in H 1/4 of the maximal square function associated with the Schrödinger equation
- Bounds for the maximal function associated to periodic solutions of one-dimensional dispersive equations
- Almost sure scattering for the energy-critical NLS with radial data below H1(R4)
- Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on \(\mathbb R^3\)
