Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent
Abstract
In this paper the long time behaviour of the solutions of 3-D strongly damped wave equation is studied. It is shown that the semigroup generated by this equation possesses a global attractor in H01()× L2() and then it is proved that this global attractor is a bounded subset of H2()× H2() and also a global attractor in H2() H01()× H01().
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.