The time fractional Schrödinger equation with a nonlinearity of Hartree type

DOI10.1007/S00028-020-00658-YzbMath1471.35306OpenAlexW3117878776MaRDI QIDQ2044657

Yanyan Li

Publication date: 10 August 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-020-00658-y

zbMATH Keywords

fractional Laplace operatorCaputo fractional derivativefractional-order Sobolev spaceHartree-type nonlinearity

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Fractional partial differential equations (35R11)

Related Items (2)

Dynamics of the nonlinear Hartree equation with a focusing and defocusing perturbation ⋮ Superdiffusive fractional in time Schrödinger equations: a unifying approach to superdiffusive waves

Cites Work

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• Classical Fourier Analysis
• GLOBAL SOLUTIONS OF SEMIRELATIVISTIC HARTREE TYPE EQUATIONS
• On finite time blow-up for the mass-critical Hartree equations

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