Long time dynamics and blow-up for the focusing inhomogeneous nonlinear Schrödinger equation with spatially growing nonlinearity
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Publication:6138665
DOI10.1063/5.0143716zbMath1520.35140arXiv2107.01479OpenAlexW4385988670MaRDI QIDQ6138665
Tarek Saanouni, Mohamed Majdoub, Van Duong Dinh
Publication date: 5 September 2023
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.01479
Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
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Cites Work
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- Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation
- Scattering for the radial 3D cubic focusing inhomogeneous nonlinear Schrödinger equation
- Sharp constant of an improved Gagliardo-Nirenberg inequality and its application
- On the asymptotic behavior of large radial data for a focusing nonlinear Schrödinger equation
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Nonlinear scalar field equations. I: Existence of a ground state
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- Schrödinger equations with a spatially decaying nonlinearity: existence and stability of standing waves
- Uniqueness of positive radial solutions of \(\Delta{} u + g(r)u + h(r)u^ p = 0\) in \(\mathbb{R}{}^ n\)
- Blow-up of \(H^ 1\) solution for the nonlinear Schrödinger equation
- Rapidly decaying solutions of the nonlinear Schrödinger equation
- Existence of solitary waves in higher dimensions
- Elliptic partial differential equations of second order
- Blowup of \(H^1\) solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation
- Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
- Local well-posedness for the inhomogeneous nonlinear Schrödinger equation
- The Sobolev-Morawetz approach for the energy scattering of nonlinear Schrödinger-type equations with radial data
- Scattering for the non-radial inhomogeneous NLS
- Scattering below the ground state for the intercritical non-radial inhomogeneous NLS
- Scattering for the radial focusing inhomogeneous NLS equation in higher dimensions
- Scattering of radial solutions to the inhomogeneous nonlinear Schrödinger equation
- Blow-up solutions for the inhomogeneous Schrödinger equation with \(L^2\) supercritical nonlinearity
- Scattering of radial data in the focusing NLS and generalized Hartree equations
- On a class of nonlinear inhomogeneous Schrödinger equation
- On well posedness for the inhomogeneous nonlinear Schrödinger equation
- A generalized Pohožaev identity and uniqueness of positive radial solutions of \(\Delta u+g(r)u+h(r)u^p=0\)
- Sharp global existence and blowing up results for inhomogeneous Schrödinger equations
- On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case
- On the inhomogeneous nonlinear Schrödinger equation with harmonic potential and unbounded coefficient
- Instability of standing waves of the Schrödinger equation with inhomogeneous nonlinearity
- The cauchy problem for the critical nonlinear Schrödinger equation in Hs
- Ground States and Bound States of a Nonlinear Schrödinger System
- Blow-Up of H 1 Solutions for the One-Dimensional Nonlinear Schrodinger Equations with Critical Power Nonlinearity
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Long Time Dynamics of Nonradial Solutions to Inhomogeneous Nonlinear Schrödinger Equations
- Energy scattering for a class of inhomogeneous nonlinear Schrödinger equation in two dimensions
- A simple proof of scattering for the intercritical inhomogeneous NLS
- Scattering below the ground state for the 2$d$ radial nonlinear Schrödinger equation
- SOBOLEV INEQUALITIES WITH SYMMETRY
- A new proof of scattering below the ground state for the 3d radial focusing cubic NLS
- Scattering theory in weighted L2 space for a class of the defocusing inhomogeneous nonlinear Schrödinger equation