Zobrazeno 1 - 10
of 254
pro vyhledávání: '"Zimmermann Philipp"'
Autor:
Zimmermann, Philipp
The main purpose of this article is to establish new uniqueness results for Calder\'on type inverse problems related to damped nonlocal wave equations. To achieve this goal we extend the theory of very weak solutions to our setting, which allows to d
Externí odkaz:
http://arxiv.org/abs/2412.02046
The main purpose of this article is to establish the Runge-type approximation in $L^2(0,T;\widetilde{H}^s(\Omega))$ for solutions of linear nonlocal wave equations. To achieve this, we extend the theory of very weak solutions for classical wave equat
Externí odkaz:
http://arxiv.org/abs/2408.13869
We study the partial data Calder\'on problem for the anisotropic Schr\"{o}dinger equation \begin{equation} \label{eq: a1} (-\Delta_{\widetilde{g}}+V)u=0\text{ in }\Omega\times (0,\infty), \end{equation} where $\Omega\subset\mathbb{R}^n$ is a bounded
Externí odkaz:
http://arxiv.org/abs/2408.08298
Publikováno v:
Nanophotonics, Vol 9, Iss 9, Pp 2693-2708 (2020)
This review aims to provide an overview over recent developments of light-driven currents with a focus on their application to layered van der Waals materials. In topological and spin-orbit dominated van der Waals materials helicity-driven and light-
Externí odkaz:
https://doaj.org/article/bc280e8c6aab4c78a4902516036fea05
Autor:
Lin, Yi-Hsuan, Zimmermann, Philipp
We investigate the inverse problem of recovering the diffusion and absorption coefficients $(\sigma,q)$ in the nonlocal diffuse optical tomography equation $(-\text{div}( \sigma \nabla))^s u+q u =0 \text{ in }\Omega$ from the nonlocal Dirichlet-to-Ne
Externí odkaz:
http://arxiv.org/abs/2406.06226
This article is devoted to forward and inverse problems associated with time-independent semilinear nonlocal wave equations. We first establish comprehensive well-posedness results for some semilinear nonlocal wave equations. The main challenge is du
Externí odkaz:
http://arxiv.org/abs/2402.05877
Autor:
Zimmermann, Philipp
The main goal of this article is the study of a Calder\'on type inverse problem for a viscous wave equation. We show that the partial Dirichlet to Neumann map uniquely determines on the one hand linear perturbations and on the other hand homogeneous
Externí odkaz:
http://arxiv.org/abs/2402.00650
Autor:
Lin, Yi-Hsuan, Zimmermann, Philipp
The main purpose of this article is the study of an inverse problem for nonlocal porous medium equations (NPMEs) with a linear absorption term. More concretely, we show that under certain assumptions on the time-independent coefficients $\rho,q$ and
Externí odkaz:
http://arxiv.org/abs/2305.16282
Autor:
Zimmermann, Philipp
Publikováno v:
Inverse Problems 2023
In this article a nonlocal analogue of an inverse problem in diffuse optical tomography is considered. We show that whenever one has given two pairs of diffusion and absorption coefficients $(\gamma_j,q_j)$, $j=1,2$, such that there holds $q_1=q_2$ i
Externí odkaz:
http://arxiv.org/abs/2302.08610
We consider an inverse problem of determining the coefficients of a fractional $p\,$-Laplace equation in the exterior domain. Assuming suitable local regularity of the coefficients in the exterior domain, we offer an explicit reconstruction formula i
Externí odkaz:
http://arxiv.org/abs/2212.03057