Sharp threshold of global well-posedness vs finite time blow-up for a class of inhomogeneous Choquard equations
From MaRDI portal
Publication:5234057
DOI10.1063/1.5111550zbMath1428.35477OpenAlexW2970246746MaRDI QIDQ5234057
Majed Ghazi Alharbi, Tarek Saanouni
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5111550
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)
Related Items (8)
Well-posedness and blow-up of Virial type for some fractional inhomogeneous Choquard equations ⋮ A Note on a Damped Focusing Inhomogeneous Choquard Equation ⋮ On well-posedness for inhomogeneous Hartree equations in the critical case ⋮ Sharp weighted Strichartz estimates and critical inhomogeneous Hartree equations ⋮ Scattering theory for a class of radial focusing inhomogeneous Hartree equations ⋮ Remarks on damped Schrödinger equation of Choquard type ⋮ Scattering for a radial defocusing inhomogeneous Choquard equation ⋮ On the inter-critical inhomogeneous generalized Hartree equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for the Schrödinger-Hartree equation
- Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation
- On the blow-up solutions for the nonlinear fractional Schrödinger equation
- Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation
- Soliton dynamics for the generalized Choquard equation
- Strong instability of standing waves for a nonlocal Schrödinger equation
- Well-posedness for semi-relativistic Hartree equations of critical type
- Symétrie et compacité dans les espaces de Sobolev
- Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation
- A note on the fractional Schrödinger equation of Choquard type
- On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation
- Blowup of \(H^1\) solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation
- On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities
- On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- On well posedness for the inhomogeneous nonlinear Schrödinger equation
- A sharp condition for scattering of the radial 3D cubic nonlinear Schrödinger equation
- Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous non\-linearities
- Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
- Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
- Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystal
- Mean field dynamics of boson stars
- A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations
- The Choquard equation and related questions
- On the Vlasov hierarchy
- SOBOLEV INEQUALITIES WITH SYMMETRY
This page was built for publication: Sharp threshold of global well-posedness vs finite time blow-up for a class of inhomogeneous Choquard equations
