Zobrazeno 1 - 10
of 882
pro vyhledávání: '"Lin, Yi‐Hsuan"'
Autor:
Lin, Yi-Hsuan
We investigate that a potential $V$ in the fractional Schr\"odinger equation $( (-\Delta_g )^s +V ) u=f$ can be recovered locally by using the local source-to-solution map on smooth connected closed Riemannian manifolds. To achieve this goal, we deri
Externí odkaz:
http://arxiv.org/abs/2409.01921
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
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
Machine translation focuses mainly on high-resource languages (HRLs), while low-resource languages (LRLs) like Taiwanese Hokkien are relatively under-explored. The study aims to address this gap by developing a dual translation model between Taiwanes
Externí odkaz:
http://arxiv.org/abs/2403.12024
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:
Lin, Yi-Hsuan, Kim, Tae Hun, Das, Suman, Pal, Tanmoy, Wessén, Jonas, Rangadurai, Atul Kaushik, Kay, Lewis E., Forman-Kay, Julie D., Chan, Hue Sun
Liquid-liquid phase separation (LLPS) involving intrinsically disordered protein regions (IDRs) is a major physical mechanism for biological membraneless compartmentalization. The multifaceted electrostatic effects in these biomolecular condensates a
Externí odkaz:
http://arxiv.org/abs/2401.04873
Autor:
Lin, Yi-Hsuan
In this short note, we investigate an inverse source problem associated with a nonlocal elliptic equation $\left( -\nabla \cdot \sigma \nabla \right)^s u =F$ that is given in a bounded open set $\Omega\subset \mathbb{R}^n$, for $n\geq 3$ and $0
Externí odkaz:
http://arxiv.org/abs/2312.15607
In this article, we investigate the Calder\'on problem for nonlocal parabolic equations, where we are interested to recover the leading coefficient of nonlocal parabolic operators. The main contribution is that we can relate both (anisotropic) variab
Externí odkaz:
http://arxiv.org/abs/2308.09654
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