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Regularity of the attractor for Schrödinger equation

✍ Scribed by O. Goubet

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
154 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

We prove that the global attractor for a weakly damped nonlinear Schr6dinger equation is smooth, i.e., it is made of smooth functions when the forcing term is smooth. Our study relies on a new approach that works for dispersive equations that are weakly dissipative, i.e., for equations for which the damping is on the low-order term.

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