Zobrazeno 1 - 10
of 276
pro vyhledávání: '"Mayboroda Svitlana"'
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 2425-2455 (2023)
We show that there is a one-to-one correspondence between solutions to the Poisson-landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature. Moreover, we prove that the difference between the two corre
Externí odkaz:
https://doaj.org/article/934e692355c7470a9747004a14f4cb89
The present paper establishes that the Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any (quantifiably) connected domain for any elliptic operator. This stand
Externí odkaz:
http://arxiv.org/abs/2410.23914
The location of the mobility edge is a long standing problem in Anderson localization. In this paper, we show that the effective confining potential introduced in the localization landscape (LL) theory predicts the onset of delocalization in 3D tight
Externí odkaz:
http://arxiv.org/abs/2309.03813
Consider the Schr\"odinger operator $-\triangle+\lambda V$ with non-negative iid random potential $V$ of strength $\lambda>0$. We prove existence and uniqueness of the associated landscape function on the whole space, and show that its correlations d
Externí odkaz:
http://arxiv.org/abs/2307.11182
This is the final part of a series of papers where we study perturbations of divergence form second order elliptic operators $-\operatorname{div} A \nabla$ by first and zero order terms, whose complex coefficients lie in critical spaces, via the meth
Externí odkaz:
http://arxiv.org/abs/2302.02746
In the present paper, we show that for an optimal class of elliptic operators with non-smooth coefficients on a 1-sided Chord-Arc domain, the boundary of the domain is uniformly rectifiable if and only if the Green function $G$ behaves like a distanc
Externí odkaz:
http://arxiv.org/abs/2211.05318
We establish the equivalence between the regularity (rectifiability) of sets and suitable estimates on the oscillation of the gradient for smooth non-local distance functions. A prototypical example of such a distance was introduced, as part of a lar
Externí odkaz:
http://arxiv.org/abs/2208.07342
In the present paper we establish the solvability of the Regularity boundary value problem in domains with (flat and Lipschitz) lower dimensional boundaries for operators whose coefficients exhibit small oscillations analogous to the Dahlberg-Kenig-P
Externí odkaz:
http://arxiv.org/abs/2208.00628
In the present paper, we consider elliptic operators $L=-\textrm{div}(A\nabla)$ in a domain bounded by a chord-arc surface $\Gamma$ with small enough constant, and whose coefficients $A$ satisfy a weak form of the Dahlberg-Kenig-Pipher condition of a
Externí odkaz:
http://arxiv.org/abs/2207.13602
We prove that the solvability of the regularity problem in $L^q(\partial \Omega)$ is stable under Carleson perturbations. If the perturbation is small, then the solvability is preserved in the same $L^q$, and if the perturbation is large, the regular
Externí odkaz:
http://arxiv.org/abs/2203.07992