화학공학소재연구정보센터
Applied Mathematics and Optimization, Vol.65, No.3, 371-402, 2012
Optimality Conditions for Semilinear Hyperbolic Equations with Controls in Coefficients
An optimal control problem for semilinear hyperbolic partial differential equations is considered. The control variable appears in coefficients. Necessary conditions for optimal controls are established by method of two-scale convergence and homogenized spike variation. Results for problems with state constraints are also stated.