Probabilistic Cauchy theory for the mass-critical fourth-order nonlinear Schrödinger equation
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Publication:5859098
DOI10.1063/5.0011893zbMath1464.35318OpenAlexW3136096766MaRDI QIDQ5859098
Publication date: 15 April 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/5.0011893
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Blow-up in context of PDEs (35B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Unnamed Item
- Small data blow-up of \(L^2\)-solution for the nonlinear Schrödinger equation without gauge invariance.
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equations of fourth order in dimensions \(d\geqslant 9\)
- Remark on the Strichartz estimates in the radial case
- Random data Cauchy problem for the nonlinear Schrödinger equation with derivative nonlinearity
- The focusing energy-critical fourth-order Schrödinger equation with radial data
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Random data Cauchy theory for supercritical wave equations I: Local theory
- Limiting profile of the blow-up solutions for the fourth-order nonlinear Schrödinger equation
- The cubic fourth-order Schrödinger equation
- Global well-posedness and scattering for the focusing energy-critical nonlinear Schrödinger equations of fourth order in the radial case
- Stability of solitons described by nonlinear Schrödinger-type equations with higher-order dispersion
- On well-posedness, regularity and ill-posedness for the nonlinear fourth-order Schrödinger equation
- Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation
- Global existence and scattering for a class of nonlinear fourth-order Schrödinger equation below the energy space
- Invariant measures for the 2D-defocusing nonlinear Schrödinger equation
- Two-dimensional nonlinear Schrödinger equation with random radial data
- The probabilistic Cauchy problem for the fourth order Schrödinger equation with special derivative nonlinearities
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Random data Cauchy problem for the fourth order Schrödinger equation with the second order derivative nonlinearities
- On blowup solutions to the focusing intercritical nonlinear fourth-order Schrödinger equation
- On the probabilistic well-posedness of the nonlinear Schrödinger equations with non-algebraic nonlinearities
- The Cauchy problem for the fourth-order nonlinear Schrödinger equation related to the vortex filament
- Long time dynamics for the one dimensional non linear Schrödinger equation
- Some non-existence results for the semilinear Schrödinger equation without gauge invariance
- Probabilistic well-posedness of the mass-critical NLS with radial data below \(L^2(\mathbb{R}^d)\)
- Random data theory for the cubic fourth-order nonlinear Schrödinger equation
- On the probabilistic Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ^{𝕕}, 𝕕≥3
- Scattering for the focusingL2-supercritical andḢ2-subcritical biharmonic NLS equations
- Scattering theory for the fourth-order Schrödinger equation in low dimensions
- Random Data Cauchy Theory for Nonlinear Wave Equations of Power-Type on ℝ3
- THE MASS-CRITICAL FOURTH-ORDER SCHRÖDINGER EQUATION IN HIGH DIMENSIONS
- Higher order expansions for the probabilistic local Cauchy theory of the cubic nonlinear Schrödinger equation on ℝ³
- Dispersion estimates for fourth order Schrödinger equations
- Dynamics of radial solutions for the focusing fourth-order nonlinear Schrödinger equations
- Scattering theory below energy for the cubic fourth-order Schrödinger equation
- Blowup for Biharmonic NLS
- Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS
- Strichartz estimates in spherical coordinates
- Almost sure scattering for the energy-critical NLS with radial data below H1(R4)
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