Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Vuillermot, Pierre A."'
Autor:
Vuillermot, Pierre-A.
In this article we introduce a new class of weighted sequence spaces of Sobolev type and prove several compact embedding theorems for them. In all cases our proofs are based on the existence of a Schauder basis that spans all of the spaces under cons
Externí odkaz:
http://arxiv.org/abs/2404.17035
Autor:
Vuillermot, Pierre-A.
In this article we investigate from the point of view of spectral theory the problem of relaxation to thermodynamical equilibrium of a quantum harmonic oscillator interacting with a radiation field. Our starting point is a system of infinitely many P
Externí odkaz:
http://arxiv.org/abs/2404.11329
Autor:
Bögli, Sabine, Vuillermot, Pierre-A.
In this article we investigate the long time behavior of solutions to a class of infinitely many master equations defined from transition rates that are suitable for the description of a quantum system approaching thermodynamical equilibrium with a h
Externí odkaz:
http://arxiv.org/abs/2111.10123
Autor:
Boegli, Sabine, Vuillermot, Pierre-A.
In this article we investigate the spectral properties of the infinitesimal generator of an infinite system of master equations arising in the analysis of the approach to equilibrium in statistical mechanics. The system under investigation thus consi
Externí odkaz:
http://arxiv.org/abs/2011.00457
Autor:
Vuillermot, Pierre-A
In this article we define and investigate statistical operators and an entropy functional for Bernstein stochastic processes associated with hierarchies of forward-backward systems of decoupled deterministic linear parabolic partial differential equa
Externí odkaz:
http://arxiv.org/abs/1905.06333
In this article we prove new results regarding the existence and the uniqueness of global variational solutions to Neumann initial-boundary value problems for a class of non-autonomous stochastic parabolic partial differential equations. The equation
Externí odkaz:
http://arxiv.org/abs/1806.10815
In this article we investigate the properties of Bernstein processes generated by infinite hierarchies of forward-backward systems of decoupled linear deterministic parabolic partial differential equations defined in Rd, where d is arbitrary. An impo
Externí odkaz:
http://arxiv.org/abs/1802.07077
Autor:
Vuillermot, Pierre-A
In this article dedicated to the memory of Igor D. Chueshov, I first summarize in a few words the joint results that we obtained over a period of six years regarding the long-time behavior of solutions to a class of semilinear stochastic parabolic pa
Externí odkaz:
http://arxiv.org/abs/1703.01066
In this article we prove new results regarding the existence of Bernstein processes associated with the Cauchy problem of certain forward-backward systems of decoupled linear deterministic parabolic equations defined in Euclidean space of arbitrary d
Externí odkaz:
http://arxiv.org/abs/1508.02539
Autor:
Vuillermot, Pierre-A., Zambrini, J.-C.
Publikováno v:
In Stochastic Processes and their Applications May 2020 130(5):2974-3004
