# On absorbing set for 3D Maxwell--Schr\"odinger damped driven equations in bounded region

@inproceedings{Komech2021OnAS, title={On absorbing set for 3D Maxwell--Schr\"odinger damped driven equations in bounded region}, author={Alexander Komech}, year={2021} }

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.

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