Blow-up criteria for fractional nonlinear Schrödinger equations
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Publication:2328875
DOI10.1016/j.nonrwa.2019.01.003zbMath1428.35501arXiv1808.07368OpenAlexW2963274605MaRDI QIDQ2328875
Publication date: 16 October 2019
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.07368
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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (10)
Asymptotics for a class of fractional coupled Schrödinger systems ⋮ Asymptotics for the fractional nonlinear Schrödinger equation with \(2<\alpha <\frac{5}{2}\) ⋮ Modified scattering for the derivative fractional nonlinear Schrödinger equation ⋮ Unnamed Item ⋮ Modified scattering for the fractional nonlinear Schrödinger equation with \(\alpha \in (\frac{3}{2},2)\) ⋮ Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation ⋮ Numerical approximation of the fractional Laplacian on \(\mathbb{R}\) using orthogonal families ⋮ Fractional nonlinear Schrödinger equation ⋮ Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation ⋮ Global dynamics of small solutions to the modified fractional Korteweg-de Vries and fractional cubic nonlinear Schrödinger equations
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