Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Marino, Lorenzo"'
We show homogenization for a family of $\mathbb{R}^d$-valued stable-like processes $(X_t^{\epsilon;\theta})_{t\ge 0}$, $\epsilon\in(0,1]$, whose (random) Fourier symbols equal $q_\epsilon(x,\xi;\theta)=\frac{1}{\epsilon^{\alpha}}q(x/\epsilon,\epsilon
Externí odkaz:
http://arxiv.org/abs/2402.04752
We study here the effects of a time-dependent second order perturbation to a degenerate Ornstein-Uhlenbeck type operator whose diffusive part can be either local or non-local. More precisely, we establish that some estimates, such as the Schauder and
Externí odkaz:
http://arxiv.org/abs/2306.04273
We consider the limit of solutions of scaled linear kinetic equations with a reflection-transmission-absorption condition at the interface. Both the coefficient describing the probability of absorption and the scattering kernel degenerate. We prove t
Externí odkaz:
http://arxiv.org/abs/2209.14646
Autor:
Marino, Lorenzo
After a general introduction about the regularization by noise phenomenon in the degenerate setting, the first part of this PhD thesis focuses at establishing the Schauder estimates, a useful analytical tool to prove also the well-posedness of stocha
Externí odkaz:
http://arxiv.org/abs/2111.03379
Autor:
Cangiotti, Nicolò, Marino, Lorenzo
A new method to compute Schauder Estimates for multidimensional fourth order heat-type equations is proposed. In particular, we show how knowing Schauder or Sobolev estimates for the one-dimensional fourth order heat equation allows to derive their m
Externí odkaz:
http://arxiv.org/abs/2110.15243
Autor:
Marino, Lorenzo Antonio, Pavese, Vera, Ruffa, Paola, Ferrero, Martina, Acquadro, Alberto, Barchi, Lorenzo, Botta, Roberto, Torello Marinoni, Daniela
Publikováno v:
In Scientia Horticulturae 1 February 2024 325
Autor:
Marino, Lorenzo
We establish global Schauder estimates for integro-partial differential equations (IPDE) driven by a possibly degenerate L\'evy Ornstein-Uhlenbeck operator, both in the elliptic and parabolic setting, using some suitable anisotropic H\"older spaces.
Externí odkaz:
http://arxiv.org/abs/2010.06704
Autor:
Marino, Lorenzo
We provide here global Schauder-type estimates for a chain of integro-partial differential equations (IPDE) driven by a degenerate stable Ornstein-Uhlenbeck operator possibly perturbed by a deterministic drift, when the coefficients lie in some suita
Externí odkaz:
http://arxiv.org/abs/1910.03653
Publikováno v:
Probability Theory & Related Fields; Jun2024, Vol. 189 Issue 1/2, p721-769, 49p