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We consider a class of semilinear parabolic equations with infinite delay and nonlinearity of polynomial type. We first prove the existence and uniqueness of weak solutions by using the Galerkin… Click to show full abstract
We consider a class of semilinear parabolic equations with infinite delay and nonlinearity of polynomial type. We first prove the existence and uniqueness of weak solutions by using the Galerkin method. Then, we show the existence of a compact global attractor for the continuous semigroup associated to the problem. The existence and exponential stability of weak stationary solutions are also investigated.
Keywords:
semilinear parabolic;
asymptotic behavior;
infinite delay;
parabolic equations;
equations infinite
Journal Title: Acta Mathematica Vietnamica
Year Published: 2018
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Journal Title: Acta Mathematica Vietnamica
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!