Zobrazeno 1 - 10
of 2 986
pro vyhledávání: '"A, Kulczycki"'
In this work, we study the asymptotic behavior of the free boundary of the solution to the exterior Bernoulli problem for the half Laplacian when the Bernoulli's gradient parameter tends to $0^+$ and to $+\infty$. Moreover, we show that, under suitab
Externí odkaz:
http://arxiv.org/abs/2409.17810
Autor:
Kulczycki, Tadeusz, Sztonyk, Kinga
We study Schr\"odinger operators on $\mathbb{R}^2$ $$ H = \left(-\frac{\partial^2}{\partial x_1^2}\right)^{\alpha/2} + \left(-\frac{\partial^2}{\partial x_2^2}\right)^{\alpha/2} + V, $$ for $\alpha \in (0,2)$ and some sufficiently regular, radial, co
Externí odkaz:
http://arxiv.org/abs/2407.14325
Autor:
Kulczycki, Tadeusz, Wszoła, Jacek
We study the structure of solutions of the interior Bernoulli free boundary problem for $(-\Delta)^{\alpha/2}$ on an interval $D$ with parameter $\lambda > 0$. In particular, we show that there exists a constant $\lambda_{\alpha,D} > 0$ (called the B
Externí odkaz:
http://arxiv.org/abs/2307.00896
Publikováno v:
International Journal of Applied Mathematics and Computer Science, Vol 34, Iss 3, Pp 439-451 (2024)
Besides clustering and classification, detection of atypical elements (outliers, rare elements) is one of the most fundamental problems in contemporary data analysis. However, contrary to clustering and classification, an atypical element detection t
Externí odkaz:
https://doaj.org/article/3ef77efaea3246be9c771963318d9334
Autor:
Kulczycki, Andrzej1 (AUTHOR) andrzej.kulczycki@itwl.pl, Białecki, Tomasz1 (AUTHOR) tomasz.bialecki@itwl.pl, Łęgowik, Anna1 (AUTHOR) anna.legowik@itwl.pl, Merkisz, Jerzy2 (AUTHOR) ireneusz.pielecha@put.poznan.pl, Pielecha, Ireneusz2 (AUTHOR)
Publikováno v:
Energies (19961073). Oct2024, Vol. 17 Issue 20, p5232. 21p.
We study SDE $$ d X_t = b(X_t) \, dt + A(X_{t-}) \, d Z_t, \quad X_{0} = x \in \mathbb{R}^d, \quad t \geq 0 $$ where $Z=(Z^1, \dots, Z^d)^T$, with $Z^i, i=1,\dots, d$ being independent one-dimensional symmetric jump L\'evy processes, not necessarily
Externí odkaz:
http://arxiv.org/abs/2208.06595
Publikováno v:
Energies, Vol 17, Iss 20, p 5232 (2024)
Aviation in Europe is required to use fuels containing up to 2 wt. % of sustainable aviation fuels (SAFs). A better understanding of the impact of SAFs on the combustion process will be helpful in solving problems that may arise from the widespread u
Externí odkaz:
https://doaj.org/article/0cc4177274ee4da38f12ac6aafa1afd8
We study the exterior and interior Bernoulli problems for the half Laplacian and the interior Bernoulli problem for the spectral half Laplacian. We concentrate on the existence and geometric properties of solutions. Our main results are the following
Externí odkaz:
http://arxiv.org/abs/2112.05479
We study a time-inhomogeneous SDE in $\R^d$ driven by a cylindrical L\'evy process with independent coordinates which may have different scaling properties. Such a structure of the driving noise makes it strongly spatially inhomogeneous and complicat
Externí odkaz:
http://arxiv.org/abs/2104.08129
Publikováno v:
Phys. Rev. D 104, 024005 (2021)
We study stationary and axially symmetric black hole-disk systems, assuming a combination of the DD2 and Timmes-Swesty equations of state and a three-parameter family of rotation laws. There exist two branches of solutions that are shown to bifurcate
Externí odkaz:
http://arxiv.org/abs/2103.15701