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

Noriaki Yamazaki

Banach Center Publications (2009)

  • Volume: 86, Issue: 1, page 313-327
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Noriaki Yamazaki. "Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications." Banach Center Publications 86.1 (2009): 313-327. <http://eudml.org/doc/281687>.

@article{NoriakiYamazaki2009,
abstract = {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.},
author = {Noriaki Yamazaki},
journal = {Banach Center Publications},
keywords = {optimal control; evolution equations; subdifferentials},
language = {eng},
number = {1},
pages = {313-327},
title = {Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications},
url = {http://eudml.org/doc/281687},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Noriaki Yamazaki
TI - Optimal control of nonlinear evolution equations associated with time-dependent subdifferentials and applications
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 313
EP - 327
AB - 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.
LA - eng
KW - optimal control; evolution equations; subdifferentials
UR - http://eudml.org/doc/281687
ER -

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