Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
Boundaries of prescribed mean curvature
The existence of a singular curve in is proven, whose curvature can be extended to an function. The curve is the boundary of a two dimensional set, minimizing the length plus the integral over the set of the extension of the curvature. The existence of such a curve was conjectured by E. De Giorgi, during a conference held in Trento in July 1992.
Boundary Configuartions Spanning Contiuna of Minimal Surfaces.
Boundary control and shape optimization for the robust design of bypass anastomoses under uncertainty
We review the optimal design of an arterial bypass graft following either a (i) boundary optimal control approach, or a (ii) shape optimization formulation. The main focus is quantifying and treating the uncertainty in the residual flow when the hosting artery is not completely occluded, for which the worst-case in terms of recirculation effects is inferred to correspond to a strong orifice flow through near-complete occlusion.A worst-case optimal control approach is applied to the steady Navier-Stokes...
Boundary control of a symmetric hyperbolic system with nonlinear boundary conditions
Boundary control problem with an infinite number of variables.
Boundary higher integrability for the gradient of distributional solutions of nonlinear systems
Boundary integral representations of second derivatives in shape optimization
For a shape optimization problem second derivatives are investigated, obtained by a special approach for the description of the boundary variation and the use of a potential ansatz for the state. The natural embedding of the problem in a Banach space allows the application of a standard differential calculus in order to get second derivatives by a straight forward "repetition of differentiation". Moreover, by using boundary value characerizations for more regular data, a complete boundary integral...
Boundary optimization under pseudo curvature constraint
Boundary Regularity for Minima of Certain Quadratic Functionals.
Boundary sentinels with given sensitivity.
Boundary value problem for functional differential equations
Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Boundary value problems for non-parametric surfaces of prescribed mean curvature
Boundary-influenced robust controls: two network examples
We consider the differential game associated with robust control of a system in a compact state domain, using Skorokhod dynamics on the boundary. A specific class of problems motivated by queueing network control is considered. A constructive approach to the Hamilton-Jacobi-Isaacs equation is developed which is based on an appropriate family of extremals, including boundary extremals for which the Skorokhod dynamics are active. A number of technical lemmas and a structured verification theorem...
Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variations.
Boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems with an application.
Branched Immersions of Surfaces and Reduction of Topological Type. II.
Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces.
Brève communication. Méthode de l'état adjoint par «relaxation»