Decay of energy for second-order boundary hemivariational inequalities with coercive damping
2010; Elsevier BV; Volume: 74; Issue: 4 Linguagem: Inglês
10.1016/j.na.2010.09.053
ISSN1873-5215
Autores Tópico(s)Advanced Mathematical Modeling in Engineering
ResumoIn this article we consider the asymptotic behavior of solutions to second-order evolution inclusions with the boundary multivalued term u″(t)+A(t,u′(t))+Bu(t)+γ̄∗∂J(t,γ̄u′(t))∋0 and u″(t)+A(t,u′(t))+Bu(t)+γ̄∗∂J(t,γ̄u(t))∋0, where A is a (possibly) nonlinear coercive and pseudomonotone operator, B is linear, continuous, symmetric and coercive, γ̄ is the trace operator and J is a locally Lipschitz integral functional with ∂ denoting the Clarke generalized gradient taken with respect to the second variable. For both cases we provide conditions under which the appropriately defined energy decays exponentially to zero as time tends to infinity. We discuss assumptions and provide examples of multivalued laws that satisfy them.
Referência(s)