Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Stachura, Eric"'
Autor:
Stachura, Eric, Wellander, Niklas
We develop various quantitative estimates for the anisotropic Maxwell system in Lipschitz domains, with a focus on how the estimates precisely depend on the Lipschitz character of the domain. We pay special attention to trace operators and extension
Externí odkaz:
http://arxiv.org/abs/2010.01159
Autor:
Adhikari, Dhruba R., Stachura, Eric
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 October 2023 526(2)
Dissertation/ Thesis
Autor:
Stachura, Eric Christopher
The Maxwell equations of electromagnetism form the foundation of classical electromagnetism, and are of interest to mathematicians, physicists, and engineers alike. The first part of this thesis concerns boundary value problems for the anisotropic Ma
Externí odkaz:
http://hdl.handle.net/20.500.12613/2452
Publikováno v:
This is a pre-print of an article published in Math. Ann. 376 (2020), no. 1-2, 61-102
We present a unified method to obtain weighted estimates of linear and multilinear commutators with BMO functions, that is amenable to a plethora of operators and functional settings. Our approach elaborates on a commonly used Cauchy integral trick,
Externí odkaz:
http://arxiv.org/abs/1710.08515
This paper provides a mathematical approach to study metasurfaces in non flat geometries. Analytical conditions between the curvature of the surface and the set of refracted directions are introduced to guarantee the existence of phase discontinuitie
Externí odkaz:
http://arxiv.org/abs/1703.06014
Autor:
Stachura, Eric
We prove existence of propagators for a time dependent Schr\"odinger equation with a new class of softened Coulomb potentials, which we allow to be time dependent, in the context of time dependent density functional theory. We compute explicitly the
Externí odkaz:
http://arxiv.org/abs/1703.06166
Autor:
Stachura, Eric1 (AUTHOR) estachur@kennesaw.edu, Wellander, Niklas2,3 (AUTHOR), Cherkaev, Elena4 (AUTHOR)
Publikováno v:
Studies in Applied Mathematics. Jul2024, Vol. 153 Issue 1, p1-44. 44p.
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 May 2021 497(2)
Autor:
Gutierrez, Cristian E., Stachura, Eric
We study the problem of constructing an optical surface separating two homogeneous, isotropic media, one of which has a negative refractive index. In doing so, we develop a vector form of Snell's law, which is used to study surfaces possessing a cert
Externí odkaz:
http://arxiv.org/abs/1501.03109
Autor:
Stachura, Eric
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 August 2017 452(2):941-956