Conservation laws and time decay for the solutions of some nonlinear Schrödinger-Hartree equations and systems
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Publication:1161862
DOI10.1016/0022-247X(81)90182-7zbMath0481.35057MaRDI QIDQ1161862
João-Paulo Dias, M. S. Figueira
Publication date: 1981
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
conservation lawsunique global solutiontime decaygroup of operatorsnonlinear Schrödinger-Hartree equations and systems
Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Hyperbolic conservation laws (35L65) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for nonlinear higher-order PDEs (35G25) Partial differential equations of mathematical physics and other areas of application (35Q99)
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Cites Work
- Asymptotic behavior of solutions to certain nonlinear Schrödinger-Hartree equations
- On a class of nonlinear Schrödinger equations. II. Scattering theory, general case
- Global existence of solutions to the Cauchy problem for time-dependent Hartree equations
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