Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications

• Autorzy: Noriaki Yamazaki
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider optimal control problems for abstract nonlinear evolution equations associated with time-dependent subdifferentials in a real Hilbert space. We prove the existence of an optimal control that minimizes the nonlinear cost functional. Also, we study approximating control problems of our equations. Then, we show the relationship between the original optimal control problem and the approximating ones. Moreover, we give some applications of our abstract results.

Kategorie tematyczne

• 35K90: Abstract parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 313-327

Daty

wydano

2009

Twórcy

autor

Noriaki Yamazaki

• Department of Mathematics, Faculty of Engineering, Kanagawa University, 3-27-1 Rokkakubashi, Kanagawa-ku, 221-8666, Japan

Identyfikatory

DOI

10.4064/bc86-0-20