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Finite dimensional global attractor for a damped fractional anisotropic Schrödinger type equation with harmonic potential

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  • We study the long time behaviour of the solutions for a class of nonlinear damped fractional Schrödinger type equation with anisotropic dispersion and in presence of a quadratic potential in a two dimensional unbounded domain. We prove that this behaviour is characterized by the existence of regular compact global attractor with finite fractal dimension.

    Mathematics Subject Classification: Primary: 35B40, 35Q55, 35B41; Secondary: 76B03, 37L30.


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