scientific article; zbMATH DE number 7155388

zbMath1433.35142MaRDI QIDQ5208949

Juntao Sun, Tsung-fang Wu, Shuai Yao

Publication date: 22 January 2020

Full work available at URL: https://ejde.math.txstate.edu/Volumes/2020/06/abstr.html#latest

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zbMATH Keywords

existence of solutionsquantum Zakharov system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (4)

Time splitting combined with exponential wave integrator Fourier pseudospectral method for quantum Zakharov system ⋮ Uniform Error Bounds of a Conservative Compact Finite Difference Method for the Quantum Zakharov System in the Subsonic Limit Regime ⋮ Unnamed Item ⋮ A conservative linearly-implicit compact difference scheme for the quantum Zakharov system

Cites Work

• The Nehari manifold for a semilinear elliptic equation with a sign-changing weight function.
• On the standing waves of quantum Zakharov system
• Low regularity global well-posedness for the quantum Zakharov system in \(1D\)
• On the variational principle
• Global well-posedness and the classical limit of the solution for the quantum Zakharov system
• Quantum Zakharov model in a bounded domain
• Local well-posedness for the quantum Zakharov system in one spatial dimension
• NONLINEAR SCHRÖDINGER EQUATIONS WITH STEEP POTENTIAL WELL

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