An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An inexact proximal-type method for the generalized variational inequality in Banach spaces.
An instantaneous semi-Lagrangian approach for boundary control of a melting problem
In this paper, a sub-optimal boundary control strategy for a free boundary problem is investigated. The model is described by a non-smooth convection-diffusion equation. The control problem is addressed by an instantaneous strategy based on the characteristics method. The resulting time independent control problems are formulated as function space optimization problems with complementarity constraints. At each time step, the existence of an optimal solution is proved and first-order optimality conditions...
An integrodifferential approach to modeling, control, state estimation and optimization for heat transfer systems
In this paper, control-oriented modeling approaches are presented for distributed parameter systems. These systems, which are in the focus of this contribution, are assumed to be described by suitable partial differential equations. They arise naturally during the modeling of dynamic heat transfer processes. The presented approaches aim at developing finitedimensional system descriptions for the design of various open-loop, closed-loop, and optimal control strategies as well as state, disturbance,...
An intermediate existence theory in the calculus of variations
An interpolatory estimate for the UMD-valued directional Haar projection [Book]
An intersection theorem for set-valued mappings
Given a nonempty convex set in a locally convex Hausdorff topological vector space, a nonempty set and two set-valued mappings , we prove that under suitable conditions one can find an which is simultaneously a fixed point for and a common point for the family of values of . Applying our intersection theorem we establish a common fixed point theorem, a saddle point theorem, as well as existence results for the solutions of some equilibrium and complementarity problems.
An inverse problem for a nonlinear Schrödinger equation.
An inverse problem for evolution inclusions.
An Ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on -accretive framework.
An isoperimetric inequality in R3
An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces.
An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for nonconvex equilibrium problems.
An iterative method for solving the generalized system of relaxed cocoercive quasivariational inclusions and fixed point problems of an infinite family of strictly pseudocontractive mappings.
An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces.
An L2-Error Estimate for an Approximation of the Solution of a Parabolic Variational Inequality.
An L...-Estimate for the gradient of extremals.
An observability estimate for parabolic equations from a measurable set in time and its applications
This paper presents a new observability estimate for parabolic equations in , where is a convex domain. The observation region is restricted over a product set of an open nonempty subset of and a subset of positive measure in . This estimate is derived with the aid of a quantitative unique continuation at one point in time. Applications to the bang-bang property for norm and time optimal control problems are provided.