Abstract
One examines the question of relaxability of infinite dimensional variational problems with state constraints. One considers systems governed by multivalued evolution equations («trajectory problem»). One starts with a new, general existence result for such inclusions with nonconvex valued orientor field. Then one proves a relaxation result. Using perturbed and penalized versions of the original variational problem, one shows that relaxability for the system is equivalent to a well-posedness notion that one calls «strong calmness». The same analysis is also carried on for semilinear systems. Finally one works an example of a distributed parameter control system
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call