High-frequency averaging in the semi-classical singular Hartree equation
نویسندگان
چکیده
منابع مشابه
High-frequency averaging in semi-classical Hartree-type equations
We investigate the asymptotic behavior of solutions to semi-classical Schrödinger equations with nonlinearities of Hartree type. For a weakly nonlinear scaling, we show the validity of an asymptotic superposition principle for slowly modulated highly oscillatory pulses. The result is based on a highfrequency averaging effect due to the nonlocal nature of the Hartree potential, which inhibits th...
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2013
ISSN: 0921-7134
DOI: 10.3233/asy-131175