Mass concentration phenomenon for inhomogeneous fractional Hartree equations
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Publication:2934169
DOI10.1063/1.4901249zbMath1317.35244OpenAlexW2032515350MaRDI QIDQ2934169
Publication date: 11 December 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4901249
NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)
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Cites Work
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- Profile decompositions and blowup phenomena of mass critical fractional Schrödinger equations
- Hitchhiker's guide to the fractional Sobolev spaces
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Orbital stability of standing waves for some nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Solutions of Hartree-Fock equations for Coulomb systems
- On global existence for mass-supercritical nonlinear fractional Hartree equations
- Existence of the global smooth solution to the period boundary value problem of fractional nonlinear Schrödinger equation
- Boson stars as solitary waves
- The Cauchy problem for non-autonomous nonlinear Schrödinger equation
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations
- From the long jump random walk to the fractional Laplacian
- Global Well-Posedness for the Fractional Nonlinear Schrödinger Equation
- Commutator estimates and the euler and navier-stokes equations
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Symmetric Decreasing Rearrangement Is Sometimes Continuous
- Inhomogeneous critical nonlinear Schrödinger equations with a harmonic potential
- Blowup for nonlinear wave equations describing boson stars