On an optimal decomposition in Zygmund spaces.
On approximation of solutions to some -dimensional integrable systems by Bäcklund transformations.
On approximation of the Neumann problem by the penalty method
We prove that penalization of constraints occuring in the linear elliptic Neumann problem yields directly the exact solution for an arbitrary set of penalty parameters. In this case there is a continuum of Lagrange's multipliers. The proposed penalty method is applied to calculate the magnetic field in the window of a transformer.
On asymptotic behavior of solutions of the Dirichlet problem in half-space for linear and quasi-linear elliptic equations.
On axially symmetric flows in .
On Bellman equations of ergodic control in ...n.
On Bernoulli decomposition of random variables and recent various applications
In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.
On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential
We present some results concerning the problem , in , , where , , and is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.
On Boundary Behaviour of Harmonic Functions in Hölder Domains.
On boundary integral equations of the first kind for the bi-laplacian in a polygonal plane domain
On boundedness of the weak solution for some class of quasilinear partial differential equations
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations
Local and global Carleman estimates play a central role in the study of some partial differential equations regarding questions such as unique continuation and controllability. We survey and prove such estimates in the case of elliptic and parabolic operators by means of semi-classical microlocal techniques. Optimality results for these estimates and some of their consequences are presented. We point out the connexion of these optimality results to the local phase-space geometry after conjugation...
On Carleman estimates for elliptic and parabolic operators. Applications to unique continuation and control of parabolic equations∗∗∗
Local and global Carleman estimates play a central role in the study of some partial differential equations regarding questions such as unique continuation and controllability. We survey and prove such estimates in the case of elliptic and parabolic operators by means of semi-classical microlocal techniques. Optimality results for these estimates and some of their consequences are presented. We point out the connexion of these optimality results to the local phase-space geometry after conjugation...
On certain nonlinear elliptic systems with indefinite terms.
On certain oscillatory properties for solutions of an equation with a biharmonic leading part
On certain p-harmonic functions in the plane.
On certain reflexion principes
On certain singular solutions of the partial differential equation... .
On closed-form solutions of some nonlinear partial differential equations.
On Conjugate Gradient Type Methods and Polynomial Preconditioners for a Class of Complex Non-Hermitian Matrices.