Displaying similar documents to “Partial exact controllability for the linear thermo-viscoelastic model.”

On exact null controllability of Black-Scholes equation

Kumarasamy Sakthivel, Krishnan Balachandran, Rangarajan Sowrirajan, Jeong-Hoon Kim (2008)

Kybernetika

Similarity:

In this paper we discuss the exact null controllability of linear as well as nonlinear Black–Scholes equation when both the stock volatility and risk-free interest rate influence the stock price but they are not known with certainty while the control is distributed over a subdomain. The proof of the linear problem relies on a Carleman estimate and observability inequality for its own dual problem and that of the nonlinear one relies on the infinite dimensional Kakutani fixed point theorem...

Exact controllability of the wave equation with mixed boundary condition and time-dependent coefficients

M. M. Cavalcanti (1999)

Archivum Mathematicum

Similarity:

In this paper we study the boundary exact controllability for the equation ∂ ∂ t α ( t ) ∂ y ∂ t - ∑ j = 1 n ∂ ∂ x j β ( t ) a ( x ) ∂ y ∂ x j = 0 in Ω × ( 0 , T ) , when the control action is of Dirichlet-Neumann form and Ω is a bounded domain in R n . The result is obtained by applying the HUM (Hilbert Uniqueness Method) due to J. L. Lions.