-regularity of the boundary to boundary operator for hyperbolic and Petrowski PDEs.
-оценки решения смешанной задачи с условиями Дирихле для волнового уравнения при радиальных начальных данных
Large diffusivity finite-dimensional asymptotic behaviour of a semilinear wave equation.
Le problème mixte des équations des ondes et applications
Les singularités des fonctions spectrales sur une variété riemannienne infiniment aplatie
Linear independence of boundary traces of eigenfunctions of elliptic and Stokes operators and applications
This paper is divided into two parts and focuses on the linear independence of boundary traces of eigenfunctions of boundary value problems. Part I deals with second-order elliptic operators, and Part II with Stokes (and Oseen) operators. Part I: Let be an eigenvalue of a second-order elliptic operator defined on an open, sufficiently smooth, bounded domain Ω in ℝⁿ, with Neumann homogeneous boundary conditions on Γ = tial Ω. Let be the corresponding linearly independent (normalized) eigenfunctions...
Local solution of Carrier's equation in a noncylindrical domain.
Long time behaviour of a Cahn-Hilliard system coupled with viscoelasticity
The long-time behaviour of a unique regular solution to the Cahn-Hilliard system coupled with viscoelasticity is studied. The system arises as a model of the phase separation process in a binary deformable alloy. It is proved that for a sufficiently regular initial data the trajectory of the solution converges to the ω-limit set of these data. Moreover, it is shown that every element of the ω-limit set is a solution of the corresponding stationary problem.