[PDF] Top 20 Optimal control of nonsmooth system governed by quasi linear elliptic equations

... In this paper, we discuss a class of optimal control problems of nonsmooth systems governed by quasi-linear elliptic partial differential equations, give the existence of the problem.. T[r] ... See full document

... the optimal control problem (1)–(4) remains an open ...boundary optimal control problems for the systems of similar type (see, for instance, [2], [6], [8] and the references ... See full document

... second-order quasi-linear hyperbolic equations of the form ...derive optimal error estimates for discontinuous Galerkin finite element methods other than the formulation which we have adopted ... See full document

... Euler equations are given by a system of nonlinear hyperbolic partial differential equations (PDEs) which represent the motion of a compressible non-viscous fluid or a ...of equations is given ... See full document

... the optimal time for a time optimal control problem (P), governed by an internally controlled semi-linear heat ...time optimal control problem (P h ) governed by a ... See full document

... Optimal control problems governed by elliptic equations are important problems in engineering ...of optimal control problems in such ...of optimal control ... See full document

... For optimal control problems governed by classic linear PDEs such as elliptic, parabolic and hyperbolic equations, the existence and the optimality conditions are well known, see ... See full document

... an elliptic OCPs with a small parameter. Mixed FEM for OCPs governed by elliptic equations and Stokes equations was presented in [4] and ... See full document

... of optimal control problems has been extensively inves- tigated in early ...of linear quadratic elliptic optimal control problems by Falk [] and Geveci ...distributed ... See full document

... an optimal control system governed by an ordinary differential equation with endpoint constraints is proved under the assumption that the control domain has no linear ...Hamilton ... See full document

... j : E × R → R satisfies integrability assumptions, f ∈ L 2 (D) and Ω, with E ⊂ Ω ⊂ D, is unknown and gives the minimization parameter in the problem (1) - (3). Other boundary conditions, more general elliptic ... See full document

... We apply our results to non-monotone eigenvalue problems, degenerate semi-linear elliptic equations, boundary value differential-algebraic equations and fully non-linear elliptic equatio[r] ... See full document

... Tugba Akman studied mathematics at Middle East Technical University(METU) in Ankara. She received her master degree in 2011 and PhD degree in 2015 from Scientific Computing Program at Institute of Applied Mathematics in ... See full document

... -7- In Chapter IV an optimal filter is derived for a completely general class of stochastic systems governed by coupled nonlinear ordinary and partial differential equations of either fi[r] ... See full document

... In this paper, we study a class of quasilinear elliptic equations on Heisenberg group by using the nonsmooth critical point theory.. This article is distributed under the terms of the Cr[r] ... See full document

... Remark . There are a lot of positive operators in concrete Banach spaces. Therefore, putting concrete Banach spaces instead of E and concrete positive differential, pseudo differential operators, or finite, infinite ... See full document

... Up to now we have seen that if a minimizing sequence is found then the limit of this sequence will be the solution of optimal control problem. In this section, we investigate how we can get this minimizing ... See full document

... Now, we use the above concept to derive the numerical method for quasi-linear equation (). Since the coefficients are the functions of not only the independent variables x and y but also of the dependent ... See full document

... with linear systems. However, nonlinear systems act very much linear around operating points (equilibria are operating ...a system can be linearized, then a linear controller can be ... See full document

... parabolic system are proved under conditions on the coefficients stated by the principal eigenvalue of the Laplace eigenvalue problem, then the time optimal control problem is formulated and the ... See full document