ABSTRACT
The paper studies the well-posedness and the longtime behaviors of the fractional damping wave equation on with critical nonlinearity, we firstly prove the well-posedness of weak solutions via an established Strichartz estimate; Secondly, by the uniformly tail estimate and the energy identity, we prove that the corresponding semigroup possesses a global attractor in the energy space .
2010 Mathematics Subject Classifications:
Disclosure statement
No potential conflict of interest was reported by the authors.