Global attractor of a dissipative fractional Klein Gordon Schrödinger system
DOI10.1007/s10884-020-09907-7zbMath1506.35212OpenAlexW3096450979WikidataQ115383356 ScholiaQ115383356MaRDI QIDQ2134125
Maria Eleni Poulou, Michael E. Filippakis
Publication date: 6 May 2022
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-020-09907-7
Fourier transformglobal attractorasymptotic compactnessfractional Laplacianglobal existence and uniqueness
Fractional derivatives and integrals (26A33) Path integrals in quantum mechanics (81S40) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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Cites Work
- Global well-posedness of the fractional Klein-Gordon-Schrödinger system with rough initial data
- Remarks on some dispersive estimates
- On fractional Schrödinger equations in Sobolev spaces
- Finite dimensionality of a Klein-Gordon-Schrödinger type system
- Global attractor for a Klein-Gordon-Schrödinger type system
- Attractor for dissipative Klein-Gordon-Schrödinger equations in \(\mathbb{R}^3\)
- Global attractors for damped semilinear wave equations.
- Fractional quantum mechanics and Lévy path integrals
- Parametric exponential energy decay for dissipative electron-ion plasma waves
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- Commutator estimates and the euler and navier-stokes equations
- Well-posedness and dynamics for the fractional Ginzburg-Landau equation
- Finite‐dimensional global attractor for a semi‐discrete fractional nonlinear Schrödinger equation
- The attractor of the dissipative coupled fractional Schrödinger equations
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