Some topological properties preserved by nearness between operators and applications to P.D.E.
Some Uniqueness and Growth Theorems in the Cauchy Problem for P utt + M ut + Nu = 0 in Hilbert Space.
Some uniqueness and observability problems arising in the control of vibrations
We discuss a control problem for the Lamé system which naturally leads to the following uniqueness problem: Given a bounded domain of , are there non-trivial solutions of the evolution Lamé system with homogeneous Dirichlet boundary conditions for which the first two components vanish? We show that such solutions do not exist when the domain is Lipschitz. However, in two space dimensions one can build easily polygonal domains in which there are eigenvibrations with the first component being identically...
Some uniqueness results for Bernoulli interior free-boundary problems in convex domains.
Some uniqueness results for degenerate elliptic operators in two variables
Some upwinding techniques for finite element approximations of convection-diffusion equations.
Some variants of the method of fundamental solutions: regularization using radial and nearly radial basis functions
The method of fundamental solutions and some versions applied to mixed boundary value problems are considered. Several strategies are outlined to avoid the problems due to the singularity of the fundamental solutions: the use of higher order fundamental solutions, and the use of nearly fundamental solutions and special fundamental solutions concentrated on lines instead of points. The errors of the approximations as well as the problem of ill-conditioned matrices are illustrated via numerical examples....
Some variational theorems of mixed type and elliptic problems with jumping nonlinearities
Some weighted Hardy-type inequalities on anisotropic Heisenberg groups.
Some weighted norm inequalities concerning the Schrödinger operators.
Sommes de deux carrés qui ne sont pas sommes de trois carrés strictement positifs
Sophus Lie a harmonie v matematické fyzice (k 150. výročí narození)
Source localization and sensor placement in environmental monitoring
In this paper we discuss two closely related problems arising in environmental monitoring. The first is the source localization problem linked to the question How can one find an unknown "contamination source"? The second is an associated sensor placement problem: Where should we place sensors that are capable of providing the necessary "adequate data" for that? Our approach is based on some concepts and ideas developed in mathematical control theory of partial differential equations.
Source type positive solutions of nonlinear parabolic inequalities
Sous-ellipticité d'opérateurs intégro-différentiels vérifiant le principe du maximum
Sous-ellipticité d'opérateurs intégro-différentiels vérifiant le principe du maximum
Sous-ellipticité et hypoellipticité maximale pour des systèmes différentiels
Sous-solutions pour un problème unilatéral d'évolution : caractérisation et régularité
Space adaptive finite element methods for dynamic obstacle problems.
Space dimension can prevent the blow-up of solutions for parabolic problems.