MULTILINEAR WEIGHTED ESTIMATES AND QUANTUM ZAKHAROV SYSTEM

DOI10.3846/MMA.2022.15555zbMath1504.35417arXiv2004.08952OpenAlexW3016339472MaRDI QIDQ5083713

Brian Choi

Publication date: 20 June 2022

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08952

zbMATH Keywords

well-posednessquantum Zakharov systemhigher order perturbation

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

The local discontinuous Galerkin method for the nonlinear quantum Zakharov system

Cites Work

• Unnamed Item
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• On the Cauchy problem for the Zakharov system
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• Well-posedness for the Zakharov system with the periodic boundary condition
• Global well-posedness and the classical limit of the solution for the quantum Zakharov system
• Local well-posedness for the quantum Zakharov system in one spatial dimension
• A bilinear estimate with applications to the KdV equation
• Quadratic forms for the 1-D semilinear Schrödinger equation

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