Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Alessandra Lunardi"'
Autor:
Alessandra Lunardi
Publikováno v:
Semigroup Theory and Evolution Equations ISBN: 9781003419914
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe1ec44224882724866eaf52149afaa7
https://doi.org/10.1201/9781003419914-25
https://doi.org/10.1201/9781003419914-25
Publikováno v:
Milan Journal of Mathematics. 87:93-104
We prove that the law of the minimum $${m := {\rm min}_{t\in[0,1]}\xi(t)}$$ of the solution $${\xi}$$ to a one-dimensional stochastic differential equation with good nonlinearity has continuous density with respect to the Lebesgue measure. As a bypro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eaf2eea52a61adb3e5c28e8a4a31fed3
https://doi.org/10.1007/s00032-019-00295-2
https://doi.org/10.1007/s00032-019-00295-2
Autor:
Alessandra Lunardi, Michael Röckner
We prove maximal regularity results in H\"older and Zygmund spaces for linear stationary and evolution equations driven by a large class of differential and pseudo-differential operators L, both in finite and in infinite dimension. The assumptions ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ce3daee051e4a5c838154636a97e803
https://doi.org/10.1112/jlms.12436
https://doi.org/10.1112/jlms.12436
Autor:
Alessandra Lunardi
We study continuity and H\"older continuity of $t\mapsto P_tf$, where $P_t$ is a generalized Mehler semigroup in $C_b(X)$, the space of the continuous and bounded functions from a Banach space $X$ to $R$, and $f\in C_b(X)$. The generators $L$ of such
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60c757161b022dae3b39d8ac2fb16520
http://arxiv.org/abs/2012.12797
http://arxiv.org/abs/2012.12797
Autor:
Alessandra Lunardi, Diego Pallara
Publikováno v:
Philos Trans A Math Phys Eng Sci
This is a survey paper about Ornstein–Uhlenbeck semigroups in infinite dimension and their generators. We start from the classical Ornstein–Uhlenbeck semigroup on Wiener spaces and then discuss the general case in Hilbert spaces. Finally, we pres
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3c9b2d4b86575fe7643e6618ab3dbce
https://hdl.handle.net/11587/447434
https://hdl.handle.net/11587/447434
Publikováno v:
Transactions of the American Mathematical Society. 370:5795-5842
We construct surface measures in a Hilbert space endowed with a probability measure ν \nu . The theory fits for invariant measures of some stochastic partial differential equations such as Burgers and reaction–diffusion equations. Other examples a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2af16a0cbdb863ba8051b8b9a8a2f8dc
https://doi.org/10.1090/tran/7195
https://doi.org/10.1090/tran/7195
Autor:
Alessandra Lunardi, Sandra Cerrai
Publikováno v:
SIAM Journal on Mathematical Analysis. 49:2843-2884
We study the validity of an averaging principle for a slow-fast system of stochastic reaction-diffusion equations. We assume here that the coefficients of the fast equation depend on time, so that the classical formulation of the averaging principle
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6058b2bba025862483d3809b2a495e71
https://doi.org/10.1137/16m1063307
https://doi.org/10.1137/16m1063307
Autor:
Alessandra Lunardi, Sandra Cerrai
We prove Schauder type estimates for stationary and evolution equations driven by the classical Ornstein-Uhlenbeck operator in a separable Banach space, endowed with a centered Gaussian measure.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c8cafb6867b1869cf6b1e9f923f32ba
Publikováno v:
Philos Trans A Math Phys Eng Sci
We gather the main known results concerning the non-degenerate Ornstein–Uhlenbeck semigroup in finite dimension. This article is part of the theme issue ‘Semigroup applications everywhere’.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4f70c3aa68f1c8a7acbb103ce36de4d
https://doi.org/10.1098/rsta.2020.0217
https://doi.org/10.1098/rsta.2020.0217