Zobrazeno 1 - 10
of 775
pro vyhledávání: '"LORENZI, L."'
In this paper we prove existence and uniqueness of a mild solution to the Young equation $dy(t)=Ay(t)dt+\sigma(y(t))dx(t)$, $t\in[0,T]$, $y(0)=\psi$. Here, $A$ is an unbounded operator which generates a semigroup of bounded linear operators $(S(t))_{
Externí odkaz:
http://arxiv.org/abs/2212.14346
We consider a class of vector-valued elliptic operators with unbounded coefficients, coupled up to the first-order, in the Lebesgue space L^p(R^d;R^m) with p in (1,\infty). Sufficient conditions to prove generation results of an analytic C_0-semigrou
Externí odkaz:
http://arxiv.org/abs/2101.01738
Via Carleman estimates we prove uniqueness and continuous dependence results for lateral Cauchy problems for linear integro-differential parabolic equations without initial conditions. The additional information supplied prescribes the conormal deriv
Externí odkaz:
http://arxiv.org/abs/1610.03398
We prove that a family of linear bounded evolution operators $({\bf G}(t,s))_{t\ge s\in I}$ can be associated, in the space of vector-valued bounded and continuous functions, to a class of systems of elliptic operators $\bm{\mathcal A}$ with unbounde
Externí odkaz:
http://arxiv.org/abs/1506.04845
Publikováno v:
In Journal of Differential Equations 15 March 2020 268(7):3962-4016
Using time dependent Lyapunov functions, we prove pointwise upper bounds for the heat kernels of some nonautonomous Kolmogorov operators with possibly unbounded drift and diffusion coefficients.
Externí odkaz:
http://arxiv.org/abs/1308.1926
We consider a class of nonautonomous second order parabolic equations with unbounded coefficients defined in $I\times\R^d$, where $I$ is a right-halfline. We prove logarithmic Sobolev and Poincar\'e inequalities with respect to an associated evolutio
Externí odkaz:
http://arxiv.org/abs/1203.1280
In this paper we study the main properties of the Ces\`aro means of bi-continuous semigroups, introduced and studied by K\"{u}hnemund in [24]. We also give some applications to Feller semigroups generated by second-order elliptic differential operato
Externí odkaz:
http://arxiv.org/abs/0912.4488
Autor:
Lorenzi, L.
We consider a class of nonautonomous elliptic operators ${\mathscr A}$ with unbounded coefficients defined in $[0,T]\times\R^N$ and we prove optimal Schauder estimates for the solution to the parabolic Cauchy problem $D_tu={\mathscr A}u+f$, $u(0,\cdo
Externí odkaz:
http://arxiv.org/abs/0911.1548
We revisit the Near Equidiffusional Flames (NEF) model introduced by Matkowsky and Sivashinsky in 1979 and consider a simplified, quasi-steady version of it. This simplification allows, near the planar front, an explicit derivation of the front equat
Externí odkaz:
http://arxiv.org/abs/0910.5322