Existence of radially symmetric blow-up solutions for quantum Zakharov system

DOI10.1016/J.JDE.2024.02.044MaRDI QIDQ6493726

Koichi Komada

Publication date: 29 April 2024

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

zbMATH Keywords

blow-upquantum Zakharov systemvirial argument

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Initial value problems for higher-order hyperbolic equations (35L30) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Cites Work

• Global dynamics below the ground state energy for the Zakharov system in the 3D radial case
• The fourth-order nonlinear Schrödinger limit for quantum Zakharov system
• Existence of self-similar blow-up solutions for Zakharov equation in dimension two. I
• Low regularity global well-posedness for the quantum Zakharov system in \(1D\)
• Local well-posedness for the quantum Zakharov system in one spatial dimension
• Singular solutions of theL²-supercritical biharmonic nonlinear Schrödinger equation
• Self-Focusing with Fourth-Order Dispersion
• Global well-posedness and scattering for the quantum Zakharov system in 𝐿²

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