Closed range mild solution operators and nonconvex optimal control via orthogonality and generalized gradients

DOI10.1016/S0362-546X(01)00106-7zbMath1016.49004OpenAlexW2081077286MaRDI QIDQ1347443

Jong Kyu Kim, Gheorghe Morosanu, Nicolae H. Pavel

Publication date: 16 July 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00106-7

zbMATH Keywords

maximum principleevolution equationoptimal solutiongeneralized gradient

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Existence theories for problems in abstract spaces (49J27) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear evolution operators and semigroups. Applications to partial differential equations
• Periodic solutions to one-dimensional wave equation with piece-wise constant coefficients
• Semigroups of linear operators and applications to partial differential equations
• Anti-periodic solutions to a class of nonlinear differential equations in Hilbert space
• Nonlinear programming problems associated with closed range operators
• Periodic optimal control in Hilbert space
• On the Spectrum of C 0 -Semigroups
• Optimal control of a functional equation associated with closed range selfadjoint operators
• L∞-optimal control of the periodic 1-D wave equation with x-dependent coefficients
• Existence and regularity of weak periodic solutions of the 2-D wave equation
• Determining the Acoustic Impedance in the 1-D Wave Equation via an Optimal Control Problem
• Optimal Control of Linear Periodic Resonant Systems in Hilbert Spaces

This page was built for publication: Closed range mild solution operators and nonconvex optimal control via orthogonality and generalized gradients