Abstract
This paper describes a new example of a calculus of variations problem with the Lavrentiev phenomenon, a problem with different value functions for different classes of admissible trajectories. Such problems provide examples of nonuniqueness for Hamilton-Jacobi equations since each value function is a solution. The authors describe these solutions and the corresponding optimal trajectories and focus on how a standard proof of optimality is adapted for these examples.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
