We first prove a new Lyapunov-type theorem which will yield existence of solutions to nonconvex minimum problems involving some hyperbolic equations on rectangular domains with Darboux boundary conditions. Some problems with obstacle and bang-bang results are also considered.
Nonconvex variational problems related to a hyperbolic equation / F., FLORES BAZAN; Perrotta, Stefania. - In: SIAM JOURNAL ON CONTROL AND OPTIMIZATION. - ISSN 0363-0129. - STAMPA. - 37:(1999), pp. 1751-1766.
Nonconvex variational problems related to a hyperbolic equation
PERROTTA, Stefania
1999
Abstract
We first prove a new Lyapunov-type theorem which will yield existence of solutions to nonconvex minimum problems involving some hyperbolic equations on rectangular domains with Darboux boundary conditions. Some problems with obstacle and bang-bang results are also considered.
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