Hypoellipticité pour des groupes nilpotents de rang de nilpotence
Hypoellipticité pour des opérateurs différentiels sur des groupes de Lie nilpotents
Hypoellipticité pour des opérateurs quasi-homogènes à coefficients polynomiaux
Hypoellipticité pour l'opérateur ... .
Hypoellipticité pour une équation d'évolution abstraite du second ordre
Hypoellipticité pour une équation d'évolution abstraite du second ordre
Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups
Hysteresis and Periodic Solutions of Semilinear and Quasilinear Wave Equations.
Hysteresis filtering in the space of bounded measurable functions
We define a mapping which with each function and an admissible value of associates the function with a prescribed initial condition which minimizes the total variation in the -neighborhood of in each subinterval of . We show that this mapping is non-expansive with respect to , and , and coincides with the so-called play operator if is a regulated function.
Hysteresis in filtration through porous media.
Hysteresis memory preserving operators
The recent development of mathematical methods of investigation of problems with hysteresis has shown that the structure of the hysteresis memory plays a substantial role. In this paper we characterize the hysteresis operators which exhibit a memory effect of the Preisach type (memory preserving operators). We investigate their properties (continuity, invertibility) and we establish some relations between special classes of such operators (Preisach, Ishlinskii and Nemytskii operators). For a general...
Hysteresis operators - a new approach to evolution differential inequalities
Hysteresis operators in phase-field models of Penrose-fife type
Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors have recently proposed a new approach to phase-field models which is based on the mathematical theory...