• Corpus ID: 233347059

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

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