Optimal feedback for perturbed bilinear control problems
Optimal interface error estimates for the mean curvature flow
Optimal regularity for mixed parabolic problems in spaces of functions which are Hölder continuous with respect to space variables
Optimal regularity for one-dimensional porous medium flow.
We give a new proof of the Lipschitz continuity with respect to t of the pressure in a one dimensional porous medium flow. As is shown by the Barenblatt solution, this is the optimal t-regularity for the pressure. Our proof is based on the existence and properties of a certain selfsimilar solution.
Optimal regularization method for ill-posed Cauchy problems.
Optimal Tikhonov approximation for a sideways parabolic equation.
Optimal time and space regularity for solutions of degenerate differential equations
We derive optimal regularity, in both time and space, for solutions of the Cauchy problem related to a degenerate differential equation in a Banach space X. Our results exhibit a sort of prevalence for space regularity, in the sense that the higher is the order of regularity with respect to space, the lower is the corresponding order of regularity with respect to time.
Optimality conditions for state-constrained PDE control problems with time-dependent controls
Optimization of measurements for state estimation in parabolic distributed systems
Original title unknown
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem
We consider the analysis and numerical solution of a forward-backward boundary value problem. We provide some motivation, prove existence and uniqueness in a function class especially geared to the problem at hand, provide various energy estimates, prove a priori error estimates for the Galerkin method, and show the results of some numerical computations.
Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments.
Oscillation of a logistic equation with delay and diffusion
This paper establishes oscillation theorems for a class of functional parabolic equations which arises from logistic population models with delays and diffusion.
Oscillation properties for parabolic equations of neutral type
The oscillation of the solutions of linear parabolic differential equations with deviating arguments are studied and sufficient conditions that all solutions of boundary value problems are oscillatory in a cylindrical domain are given.
Overimplicit methods for the solution of evolution problems