Singular perturbation for nonlinear boundary-value problems.
Singular perturbation for the Dirichlet boundary control of elliptic problems
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
Singular perturbation for the Dirichlet boundary control of elliptic problems
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
Singular perturbations in foliations.
Singular solutions of a singular differential equation.
Singularité analytique et perturbation singulière en dimension 2
Slow and fast systems with Hamiltonian reduced problems.
Stability analysis of fractional differential systems with order lying in .
Stabilization of solutions to a differential-delay equation in a Banach space
A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.