Quelques résultats d'existence et régularité pour un problème non linéaire de la théorie du contrôle
Problèmes au bord de type mixte pour des équations paraboliques ou hyperboliques
Asymptotic behaviour of stochastic quasi dissipative systems
We prove uniqueness of the invariant measure and the exponential convergence to equilibrium for a stochastic dissipative system whose drift is perturbed by a bounded function.
Somma di generatori infinitesimali di semigruppi analitici
Poincaré inequality for some measures in Hilbert spaces and application to spectral gap for transition semigroups
The Ornstein-Uhlenbeck generator perturbed by the gradient of a potential
Si considera, in uno spazio di Hilbert l'operatore lineare , dove è un operatore negative autoaggiunto e è un potenziale che soddisfa a opportune condizioni di integrabilità. Si dimostra con un metodo analitico che è essenzialmente autoaggiunto in uno spazio e si caratterizza il dominio della sua chiusura come sottospazio di . Si studia inoltre la «spectral gap property» del semigruppo generato da .
Some results on elliptic and parabolic equations in Hilbert spaces
We consider elliptic and parabolic equations with infinitely many variables. We prove some results of existence, uniqueness and regularity of solutions.
Characterization of the domain of an elliptic operator of infinitely many variables in spaces
We consider an elliptic operator associated to a Dirichlet form corresponding to a differential stochastic equation of potential form. We characterize the domain of the operator as a subspace of , where is the invariant measure of the differential stochastic equation.
Regularity properties of a stochastic convolution integral
Si studiano proprietà di regolarità di un integrale di convoluzione del tipo Itȏ.
Periodic solutions of infinite dimensional Riccati Equations
Si da un risultato di esistenza di soluzioni periodiche per una equazione di Riccati in dimensione infinita.
Pathwise uniqueness for stochastic PDEs
We consider a stochastic evolution equation in a separable Hilbert spaces H or in a separable Banach space E with a Hölder continuous perturbation on the drift. We review some recent result about pathwise uniqueness for this equation.
Periodic solutions of infinite dimensional Riccati Equations
Si da un risultato di esistenza di soluzioni periodiche per una equazione di Riccati in dimensione infinita.
Regularity properties of a stochastic convolution integral
Si studiano proprietà di regolarità di un integrale di convoluzione del tipo Itȏ.
Applications accrétives dans des espaces d'operateurs hermitiens
Si considerano le applicazioni sullo spazio di Banach degli operatori hermitiani su uno spazio di Hilbert e si caratterizzano quelle accretive.
Asymptotic behaviour of stochastic quasi dissipative systems
We prove uniqueness of the invariant measure and the exponential convergence to equilibrium for a stochastic dissipative system whose drift is perturbed by a bounded function.
Dynamic programming for the stochastic Navier-Stokes equations
Some results for the reflection problems in Hilbert spaces
Hopf bifurcation for fully nonlinear equations in Banach space
Stochastic viability and invariance
The Martingale Problem in Hilbert Spaces
We consider an SPDE in a Hilbert space of the form , and the corresponding transition semigroup . We define the infinitesimal generator of through the Laplace transform of as in [1]. Then we consider the differential operator defined on a suitable set of regular functions. Our main result is that if is a core for , then there exists a unique solution of the martingale problem defined in terms of . Application to the Ornstein-Uhlenbeck equation and to some regular perturbation...
Page 1 Next