Zobrazeno 1 - 10
of 2 599
pro vyhledávání: '"AHM, P"'
We prove the Wolff potential estimates for nonlocal equations with nonstandard growth. As an application, we obtain the Wiener criterion in this framework, which provides a necessary and sufficient condition for boundary points to be regular. Our app
Externí odkaz:
http://arxiv.org/abs/2312.16411
Autor:
Lee, Ki-Ahm, Lee, Taehun
We consider a flow by powers of Gauss curvature under the obstruction that the flow cannot penetrate a prescribed region, so called an obstacle. For all dimensions and positive powers, we prove the optimal curvature bounds of solutions and all time e
Externí odkaz:
http://arxiv.org/abs/2310.02668
Autor:
Lee, Ki-Ahm, Lee, Taehun
In this paper, we investigate energy-minimizing curves with fixed endpoints $p$ and $q$ in a constrained space. We prove that when one of the endpoints, say $p$, is fixed, the set of points $q$ for which the energy-minimizing curve is not unique has
Externí odkaz:
http://arxiv.org/abs/2306.07511
Autor:
Lee, Ki-Ahm, Yun, Hyungsung
In this paper, we establish the boundary regularity results for viscosity solutions of fully nonlinear degenerate/singular parabolic equations of the form $$u_t - x_n^{\gamma} F(D^2 u,x,t) = f,$$ where $\gamma<1$. These equations are motivated by the
Externí odkaz:
http://arxiv.org/abs/2305.14615
In this paper, we study generalized Schauder theory for the degenerate/singular parabolic equations of the form $$u_t = a^{i'j'}u_{i'j'} + 2 x_n^{\gamma/2} a^{i'n} u_{i'n} + x_n^{\gamma} a^{nn} u_{nn} + b^{i'} u_{i'} + x_n^{\gamma/2} b^n u_{n} + c u
Externí odkaz:
http://arxiv.org/abs/2304.08734
We establish the interior $C^{1,\alpha}$-estimate for viscosity solutions of degenerate/singular fully nonlinear parabolic equations $$u_t = |Du|^{\gamma}F(D^2u) + f.$$ For this purpose, we prove the well-posedness of the regularized Dirichlet proble
Externí odkaz:
http://arxiv.org/abs/2303.09059
Autor:
Hooshyar, Hossein, Kadavil, Rahul, Paduani, Victor, Haddadi, Aboutaleb, Jakaria, AHM, Huque, Aminul
This paper presents a case study for utilizing behind-the-meter (BTM) distributed energy resources (DERs) to provide grid services when controlled by a DER Management System (DERMS). The testbed consists of a 5,000 buses transient-stability (TS) real
Externí odkaz:
http://arxiv.org/abs/2302.01123
Autor:
Paduani, Victor, Kadavil, Rahul, Hooshyar, Hossein, Haddadi, Aboutaleb, Jakaria, AHM, Huque, Aminul
This paper presents the development of a real-time T&D co-simulation testbed for simulating large grids under high DER penetration. By integrating bulk power system, distribution feeders, and distributed energy resources (DER) models into one simulat
Externí odkaz:
http://arxiv.org/abs/2302.01120
Autor:
Lee, Ki-Ahm, Lee, Se-Chan
We study the boundary continuity of solutions to fully nonlinear elliptic equations. We first define a capacity for operators in non-divergence form and derive several capacitary estimates. Secondly, we formulate the Wiener criterion, which character
Externí odkaz:
http://arxiv.org/abs/2301.00960
Publikováno v:
Resilient Cities and Structures, Vol 3, Iss 2, Pp 85-100 (2024)
Records of wave-induced damage on coastal bridges during natural hazards have been well documented over the past two decades. It is of utmost importance to decipher the loading mechanism and enhance the resilience of coastal bridges during extreme wa
Externí odkaz:
https://doaj.org/article/36d6068d5c6246d283495733e664cde1