Asymptotic behavior of solutions to time-dependent Hartree equations

DOI10.1016/0362-546X(88)90117-4zbMath0647.35013OpenAlexW2088034938MaRDI QIDQ3791537

Nakao Hayashi

Publication date: 1988

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90117-4

zbMATH Keywords

asymptotic behaviorCauchy problemHartree equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for nonlinear higher-order PDEs (35G25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (2)

Time decay for some Schrödinger equations ⋮ Time decay of solutions to the Cauchy problem for time-dependent Schrödinger-Hartree equations

Cites Work

• On solutions on the initial value problem for the nonlinear Schrödinger equations
• Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems
• Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
• On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
• On a class of non linear Schrödinger equations with non local interactions
• On solutions of the initial value problem for the nonlinear Schrödinger equations in one space dimension
• L∞C(ℝⁿ)-decay of classical solutions for nonlinear Schrödinger equations
• Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
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