English

Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term

Optimization and Control 2010-08-20 v1

Abstract

An optimal control problem for semilinear parabolic partial differential equations is considered. The control variable appears in the leading term of the equation. Necessary conditions for optimal controls are established by the method of homogenizing spike variation. Results for problems with state constraints are also stated.

Keywords

Cite

@article{arxiv.1008.3360,
  title  = {Optimality Conditions for Semilinear Parabolic Equations with Controls in Leading Term},
  author = {Hongwei Lou},
  journal= {arXiv preprint arXiv:1008.3360},
  year   = {2010}
}

Comments

22 apges, 1 figures