Partial differential operators of infinite order with constant coefficients on the space of analytic functions on the polydisc
Path properties of a class of locally asymptotically self similar processes.
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.
Peano type theorem for abstract parabolic equations
Periodic and invariant measures for stochastic wave equations.
Periodic boundary value problems for nonlinear impulsive fractional differential equation.
Periodic solutions for some partial functional differential equations.
Periodic solutions for some partial neutral functional differential equations.
Periodic solutions of abstract and partial differential equations with deviation
Periodic solutions of evolution problem associated with moving convex sets
This paper is concerned with periodic solutions for perturbations of the sweeping process introduced by J.J. Moreau in 1971. The perturbed equation has the form where C is a T-periodic multifunction from [0,T] into the set of nonempty convex weakly compact subsets of a separable Hilbert space H, is the normal cone of C(t) at u(t), f:[0,T] × H∪H is a Carathéodory function and Du is the differential measure of the periodic BV solution u. Several existence results of periodic solutions for this...
Periodic solutions of the Stefan problem with Hysteresis-Type boundary conditions.
Perron's method and the method of relaxed limits for "unbounded" PDE in Hilbert spaces
We prove that Perron's method and the method of half-relaxed limits of Barles-Perthame works for the so called B-continuous viscosity solutions of a large class of fully nonlinear unbounded partial differential equations in Hilbert spaces. Perron's method extends the existence of B-continuous viscosity solutions to many new equations that are not of Bellman type. The method of half-relaxed limits allows limiting operations with viscosity solutions without any a priori estimates. Possible applications...
Perte de régularité pour les équations d’ondes sur-critiques
On prouve que le problème de Cauchy local pour l’équation d’onde sur-critique dans , , impair, avec et , est mal posé dans pour tout , où est l’exposant critique.
Perturbation quasi différentielle d'un semi-groupe régularisant dans une échelle d'espaces de Banach
Perturbation theory for random walk in asymmetric random environment.
Perturbations singulières et noyaux de Poisson
P-Harmonic obstacle problems.
Phase transition with supercooling
L'articolo riassume il quadro dei risultati noti circa il cosiddetto problema di Stefan con sopraraffreddamento. Con ciò si intende in senso lato l'estensione del modello di Stefan a quei casi in cui la temperatura della fase liquida (solida) non è confinata al di sopra (sotto) di quella di cambiamento di fase, supposta costante. La nostra discussione è prevalentemente rivolta allo sviluppo di singolarità (non limitatezza della velocità dell'interfaccia, ecc.), al modo di prevederle, di prevenirle...
Phragmén-Lindelöf and nonexistence theorems for nonlinear elliptic equations.
Pointwise Accuracy of a Finite Element Method for Nonlinear Variational Inequalities.