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The attractor of the dissipative coupled fractional Schrödinger equations
Author(s) -
Cheng Ming
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2820
Subject(s) - dissipative system , attractor , mathematics , contraction (grammar) , initial value problem , cauchy problem , schrödinger's cat , mathematical analysis , contraction mapping , mathematical physics , physics , fixed point theorem , quantum mechanics , medicine
In the present paper, we consider the dissipative coupled fractional Schrödinger equations. The global well‐posedness by the contraction mapping principle is obtained. We study the long time behavior of solutions for the Cauchy problem. We prove the existence of global attractor. Copyright © 2013 John Wiley & Sons, Ltd.