Asymptotic Smoothing Effect for a Weakly Damped Nonlinear Schrodinger Equation in T2
نویسندگان
چکیده
منابع مشابه
Global attractor and asymptotic smoothing effects for the weakly damped cubic Schrödinger equation in L(T)
We prove that the weakly damped cubic Schrödinger flow in L(T) provides a dynamical system that possesses a global attractor. The proof relies on a sharp study of the behavior of the associated flow-map with respect to the weak L(T)-convergence inspired by [18]. Combining the compactness in L(T) of the attractor with the approach developed in [10], we show that the attractor is actually a compa...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2000
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3763