Space-Time Fractional Nonlinear Schrödinger Equation
From MaRDI portal
Publication:5241106
DOI10.1137/19M1247140zbMath1431.35173OpenAlexW2982571925MaRDI QIDQ5241106
Publication date: 30 October 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1247140
KdV equations (Korteweg-de Vries equations) (35Q53) Ill-posed problems for PDEs (35R25) NLS equations (nonlinear Schrödinger equations) (35Q55) Mittag-Leffler functions and generalizations (33E12) Fractional partial differential equations (35R11)
Related Items (13)
On a time-space fractional diffusion equation with a semilinear source of exponential type ⋮ Global well-posedness for fractional Sobolev-Galpern type equations ⋮ Global well-posedness for the cubic fractional NLS on the unit disk ⋮ Multidimensional van der Corput-type estimates involving Mittag-Leffler functions ⋮ Long time decay analysis of complex-valued fractional abstract evolution equations with delay ⋮ Global existence and convergence results for a class of nonlinear time fractional diffusion equation ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves ⋮ A second-order implicit difference scheme for the nonlinear time-space fractional Schrödinger equation ⋮ On nonlinear Sobolev equation with the Caputo fractional operator and exponential nonlinearity ⋮ On the existence theory of a time-space fractional Klein-Gordon-Schrödinger system ⋮ Van der Corput lemmas for Mittag-Leffler functions. II: \(\alpha\)-directions ⋮ Local well-posedness of semilinear space-time fractional Schrödinger equation ⋮ Global well-posedness and long-time behavior of the fractional NLS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness and ill-posedness for the cubic fractional Schrödinger equations
- A parabolic problem with a fractional time derivative
- Porous medium flow with both a fractional potential pressure and fractional time derivative
- A fractional porous medium equation
- On fractional Schrödinger equations in Sobolev spaces
- Sharp well-posedness and ill-posedness results for a quadratic nonlinear Schrödinger equation
- Space-time fractional Schrödinger equation with time-independent potentials
- Instabilities for supercritical Schrödinger equations in analytic manifolds
- The second iterate for the Navier-Stokes equation
- Loss of regularity for supercritical nonlinear Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
- Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation
- On blow-up solutions to the focusing mass-critical nonlinear fractional Schrödinger equation
- Fractional Cauchy problems on bounded domains
- Local well-posedness of semilinear space-time fractional Schrödinger equation
- A General Fractional Porous Medium Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- A study on blowup solutions to the focusing L2-supercritical nonlinear fractional Schrödinger equation
- Perte de régularité pour les équations d’ondes sur-critiques
- Time fractional Schrödinger equation
This page was built for publication: Space-Time Fractional Nonlinear Schrödinger Equation
