On the decaying property of quintic NLS on 3D hyperbolic space
DOI10.1016/J.NA.2024.113599zbMATH Open1547.35633MaRDI QIDQ6603997
Han Wang, Xueying Yu, C.-T. Ma, Zehua Zhao
Publication date: 12 September 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Pair excitations and the mean field approximation of interacting Bosons. I
- Well-posedness and scattering for nonlinear Schrödinger equations on \(\mathbb{R}^d \times \mathbb{T}\) in the energy space
- Nonlinear Schrödinger equation on real hyperbolic spaces
- On scattering for NLS: from Euclidean to hyperbolic space
- The focusing energy-critical fourth-order Schrödinger equation with radial data
- Semilinear Schrödinger flows on hyperbolic spaces: scattering in \(H^{1}\)
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case
- Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space
- The cubic fourth-order Schrödinger equation
- Analysis of the Laplacian on a complete Riemannian manifold
- Almost conservation laws and global rough solutions to a nonlinear Schrödinger equation.
- Sobolev spaces on Riemannian manifolds
- On the global well-posedness of energy-critical Schrödinger equations in curved spaces
- Global existence, scattering and blow-up for the focusing NLS on the hyperbolic space
- The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions
- Global well-posedness and scattering for the energy-critical Schrödinger equation in \(\mathbb R^{3}\)
- Weighted Strichartz estimates for radial Schrödinger equation on noncompact manifolds
- Global well-posedness and scattering for the defocusing, \(L^2\)-critical nonlinear Schrödinger equation when \(d \geq 3\)
- Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4
- Scattering for 𝐻̇^{1/2} bounded solutions to the cubic, defocusing NLS in 3 dimensions
- Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case
- On nonlinear schrödinger equations
- Dispersion estimates for fourth order Schrödinger equations
- On the high–low method for NLS on the hyperbolic space
- The Nonlinear Schrödinger Equation on Hyperbolic Space
- A note on decay property of nonlinear Schrödinger equations
- On the decay property of the cubic fourth-order Schrödinger equation
- Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution
- On decaying properties of nonlinear Schr\"odinger equations
This page was built for publication: On the decaying property of quintic NLS on 3D hyperbolic space
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6603997)