On absorbing set for 3D Maxwell--Schrödinger damped driven equations in bounded region
arXiv:2104.10723
Abstract
We consider the 3D damped driven Maxwell--Schrödinger equations in a bounded region under suitable boundary conditions. We establish new a priori estimates, which provide the existence of global finite energy weak solutions and bounded absorbing set. The proofs rely on the Sobolev type estimates for magnetic Schrödinger operator.
arXiv comment10 pages, 0 figures
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