Fractional Choquard equations with an inhomogeneous combined non-linearity
From MaRDI portal
Publication:2134624
DOI10.1007/s00009-022-02023-4zbMath1487.35354OpenAlexW4225625517MaRDI QIDQ2134624
Tarek Saanouni, Majed Ghazi Alharbi
Publication date: 3 May 2022
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02023-4
Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- On the blow-up solutions for the nonlinear fractional Schrödinger equation
- Blowup for fractional NLS
- Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- A method for obtaining evolution equations for nonlinear waves in a random medium
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Fractional quantum mechanics and Lévy path integrals
- A note on the fractional Schrödinger equation of Choquard type
- On the energy-critical fractional Schrödinger equation in the radial case
- On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation
- Stability of standing waves for the fractional Schrödinger-Hartree equation
- Sharp thresholds of blow-up and global existence for the Schrödinger equation with combined power-type and Choquard-type nonlinearities
- Improved Strichartz estimates for a class of dispersive equations in the radial case and their applications to nonlinear Schrödinger and wave equations
- Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation
- Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
- Remarks on the inhomogeneous fractional nonlinear Schrödinger equation
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- Ground states for nonlinear fractional Choquard equations with general nonlinearities
- Remarks on strongly elliptic partial differential equations
- Mean field dynamics of boson stars
- A study on blowup solutions to the focusing L2-supercritical nonlinear fractional Schrödinger equation
- Strong instability of standing waves for the fractional Choquard equation
- Fractional Schrödinger equation in gravitational optics
- On fractional Choquard equations
- SOBOLEV INEQUALITIES WITH SYMMETRY
- On finite time blow-up for the mass-critical Hartree equations
This page was built for publication: Fractional Choquard equations with an inhomogeneous combined non-linearity