Spectrum stability of an elliptic operator to domain perturbations.
Spherical Symmetrization and Eigenvalue Estimates.
Stabilität mehrfach zusammenhängender Minimalflächen.
Stabilité isopérimétrique
Stability analysis for higher-order adjacent derivative in parametrized vector optimization.
Stability analysis for parametric vector optimization problems [Book]
Stability analysis of solutions to an optimal control problem associated with a Goursat-Darboux problem
In the present paper, some results concerning the continuous dependence of optimal solutions and optimal values on data for an optimal control problem associated with a Goursat-Darboux problem and an integral cost functional are derived.
Stability and sensitivity analysis for optimal control problems with control-state constraints [Book]
Stability and sensitivity analysis for optimal control problems with a first-order state constraint and application to continuation methods
The paper deals with an optimal control problem with a scalar first-order state constraint and a scalar control. In presence of (nonessential) touch points, the arc structure of the trajectory is not stable. Under some reasonable assumptions, we show that boundary arcs are structurally stable, and that touch point can either remain so, vanish or be transformed into a single boundary arc. Assuming a weak second-order optimality condition (equivalent to uniform quadratic growth), stability and...
Stability in a ball-partition problem.
Stability of a variational inequality with respect to domain perturbations.
Stability of eigenvalues and eigenvectors of variational inequalities
Stability of Hypersurfaces with Constant Mean Curvature.
Stability of microstructure for tetragonal to monoclinic martensitic transformations
Stability of microstructure for tetragonal to monoclinic martensitic transformations
We give an analysis of the stability and uniqueness of the simply laminated microstructure for all three tetragonal to monoclinic martensitic transformations. The energy density for tetragonal to monoclinic transformations has four rotationally invariant wells since the transformation has four variants. One of these tetragonal to monoclinic martensitic transformations corresponds to the shearing of the rectangular side, one corresponds to the shearing of the square base, and one corresponds to...
Stability of Noor iterations with errors for generalized nonlinear complementarity problems.
Stability of peakons for the generalized Camassa-Holm equation.
Stability of saddle point problems with penalty
Stability of the Steiner symmetrization of convex sets
The isoperimetric inequality for Steiner symmetrization of any codimension is investigated and the equality cases are characterized. Moreover, a quantitative version of this inequality is proven for convex sets.
Stability results for convergence of convex sets and functions in nonreflexive spaces.
Let Γ(X) be the convex proper lower semicontinuous functions on a normed linear space X. We show, subject to Rockafellar’s constraints qualifications, that the operations of sum, episum and restriction are continuous with respect to the slice topology that reduces to the topology of Mosco convergence for reflexive X. We show also when X is complete that the epigraphical difference is continuous. These results are applied to convergence of convex sets.