Zobrazeno 1 - 10
of 4 769
pro vyhledávání: '"A Ishige"'
We give an explicit representation of the fundamental solution to the heat equation on a half-space of ${\mathbb R}^N$ with the homogeneous dynamical boundary condition, and obtain upper and lower estimates of the fundamental solution. These enable u
Externí odkaz:
http://arxiv.org/abs/2410.08430
This paper presents opt-in camera, a concept of privacy-preserving camera systems capable of recording only specific individuals in a crowd who explicitly consent to be recorded. Our system utilizes a mobile wireless communication tag attached to per
Externí odkaz:
http://arxiv.org/abs/2409.19891
Autor:
Hamada, Yuta, Ishige, Arata
We consider heterotic string theories in nine and eight dimensions. We identify the disconnected part of the spacetime gauge group by studying the outer automorphism of the charge lattices. The absence of the global symmetry indicates the existence o
Externí odkaz:
http://arxiv.org/abs/2409.04770
We prove the Riemannian version of a classical Euclidean result: every level set of the capacitary potential of a starshaped ring is starshaped. In the Riemannian setting, we restrict ourselves to starshaped rings in a warped product of an open inter
Externí odkaz:
http://arxiv.org/abs/2408.16435
Existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term
We study the existence of solutions to the fractional semilinear heat equation with a singular inhomogeneous term. For this aim, we establish decay estimates of the fractional heat semigroup in several uniformly local Zygumnd spaces. Furthermore, we
Externí odkaz:
http://arxiv.org/abs/2407.17769
Let $(u,v)$ be a solution to the Cauchy problem for a semilinear parabolic system \[ \mathrm{(P)} \qquad \cases{ \partial_t u=D_1\Delta u+v^p\quad & $\quad\mbox{in}\quad{\mathbb{R}}^N\times(0,T),$\\ \partial_t v=D_2\Delta v+u^q\quad & $\quad\mbox{in}
Externí odkaz:
http://arxiv.org/abs/2407.02847
Autor:
Kino, Ryoko, Nagao, Sho, Akiyama, Takeru, Fujioka, Hiroyuki, Fujiwara, Tomomasa, Ishige, Tatsuhiro, Itabashi, Kosuke, Kajikawa, Shunsuke, Kaneta, Masashi, Mizuno, Masaya, Nakamura, Satoshi N., Nishi, Kotaro, Nishida, Ken, Okuyama, Kazuki, Oura, Fumiya, Tachibana, Koga, Toyama, Yuichi, Watanabe, Daigo
Publikováno v:
Nuclear Inst. and Methods in Physics Research, A, Volume 1070, 2025, Page 169992
A real-time beam profile monitoring system is proposed for GeV photon beams at the BM4 beamline of the Mikamine site, Research Center for Accelerator and Radioisotope Science (RARiS; previously known as ELPH) at Tohoku University. This monitoring sys
Externí odkaz:
http://arxiv.org/abs/2405.17904
In this paper, we provide a new PDE proof for the celebrated Borell--Brascamp--Lieb inequality. Our approach reveals a deep connection between the Borell--Brascamp--Lieb inequality and properties of diffusion equations of porous medium type pertainin
Externí odkaz:
http://arxiv.org/abs/2405.16721
We prove that no concavity properties are preserved by the Dirichlet heat flow in a totally convex domain of a Riemannian manifold unless the sectional curvature vanishes everywhere on the domain.
Comment: 18 pages. Comments welcome!
Comment: 18 pages. Comments welcome!
Externí odkaz:
http://arxiv.org/abs/2405.03982
In this paper we introduce uniformly local weak Zygmund type spaces, and obtain an optimal sufficient condition for the existence of solutions to the critical fractional semilinear heat equation.
Externí odkaz:
http://arxiv.org/abs/2402.14319