Zobrazeno 1 - 10
of 22
pro vyhledávání: '"MAKOTO MIZUGUCHI"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-18 (2017)
Abstract This paper is concerned with an explicit value of the embedding constant from W 1 , q ( Ω ) $W^{1,q}(\Omega)$ to L p ( Ω ) $L^{p}(\Omega)$ for a domain Ω ⊂ R N $\Omega\subset\mathbb{R}^{N}$ ( N ∈ N $N\in\mathbb{N}$ ), where 1 ≤ q
Externí odkaz:
https://doaj.org/article/1fcd6fafa7b74e8fb3ed141982fa1f28
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 40:665-689
Multiple studies have addressed the blow-up time of the Fujita-type equation. However, an explicit and sharp inclusion method that tackles this problem is still missing due to several challenging issues. In this paper, we propose a method for obtaini
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a43731b9965d8922198f6d0613549b68
https://doi.org/10.1007/s13160-022-00545-8
https://doi.org/10.1007/s13160-022-00545-8
Publikováno v:
Journal of Scientific Computing. 89
In this paper, we propose $$L^2(J;H^1_0(\Omega ))$$ L 2 ( J ; H 0 1 ( Ω ) ) and $$L^2(J;L^2(\Omega ))$$ L 2 ( J ; L 2 ( Ω ) ) norm error estimates that provide the explicit values of the error constants for the semi-discrete Galerkin approximatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b647e4e66987e50eb822cedd2a6ba96
https://doi.org/10.1007/s10915-021-01636-3
https://doi.org/10.1007/s10915-021-01636-3
Publikováno v:
Journal of Computational and Applied Mathematics. 315:1-16
This paper presents a method of numerical verification for the existence of a global-in-time solution to a class of semilinear parabolic equations. Such a method is based on two main theorems in this paper. One theorem gives a sufficient condition fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f756d575c1255bb7e4cd8c55022d8318
https://doi.org/10.1016/j.cam.2016.10.024
https://doi.org/10.1016/j.cam.2016.10.024
Publikováno v:
SIAM journal on numerical analysis. 55(2):980-1001
This paper presents a numerical method for verifying the existence and local uniqueness of a solution for an initial-boundary value problem of semilinear parabolic equations. The main theorem of this paper provides a sufficient condition for a unique
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8d1d789f9d493109cbf6458a1398fdf
https://tsukuba.repo.nii.ac.jp/records/41683
https://tsukuba.repo.nii.ac.jp/records/41683
Publikováno v:
Journal of Computational and Applied Mathematics. 311:306-313
In this paper, we propose a verified numerical method for obtaining a sharp inclusion of the best constant for the embedding H 0 1 ( ź ) ź L p ( ź ) on a bounded convex domain in R 2 . We estimate the best constant by computing the corresponding e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69f38e45e0507c3a287b0b05e4b706a2
https://doi.org/10.1016/j.cam.2016.07.021
https://doi.org/10.1016/j.cam.2016.07.021
Publikováno v:
Nonlinear Theory and Its Applications, IEICE. 7(3):386-394
This paper is concerned with the embedding constant of the Sobolev type inequality for fractional derivatives on $\Omega\subset\mathbb{R}^{N}~(N\in\mathbb{N})$. The constant is explicitly described using the analytic semigroup over L2(Ω) generated b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb3c12e238bac42d5f99e6fe9e1cd2f6
https://tsukuba.repo.nii.ac.jp/records/41110
https://tsukuba.repo.nii.ac.jp/records/41110
Autor:
Shiho Mikawa, Shang-Cheng Hung, Kenji Uchimura, Hiroyuki Nakajima, Naomi Sakashita, Norihiro Kobayashi, Hiroyuki Saito, Kaori Kuwabara, Kazuchika Nishitsuji, Makoto Mizuguchi
Publikováno v:
Journal of Biological Chemistry. 290:24210-24221
The single amino acid mutation G26R in human apolipoprotein A-I (apoA-I) is associated with familial amyloid polyneuropathy III. ApoA-I carrying this mutation (apoA-IIowa) forms amyloid fibrils in vitro. Heparan sulfate (HS) is a glycosaminoglycan th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5368b958ef6c19d872f9ee0822ee9912
https://doi.org/10.1074/jbc.m115.652545
https://doi.org/10.1074/jbc.m115.652545
Publikováno v:
JSIAM Letters. 7:73-76
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b6aef7db9d2ce63cf7c8a10767ab42d2
https://doi.org/10.14495/jsiaml.7.73
https://doi.org/10.14495/jsiaml.7.73
Publikováno v:
Journal of Inequalities and Applications, Vol 2017, Iss 1, Pp 1-18 (2017)
Journal of Inequalities and Applications
Journal of Inequalities and Applications
This paper is concerned with an explicit value of the embedding constant from $W^{1,q}(\Omega)$ to $L^{p}(\Omega)$ for a bounded domain $\Omega\subset\mathbb{R}^N~(N\in\mathbb{N})$, where $1\leq q\leq p\leq \infty$. To obtain this value, we previousl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7c853256d74ed091561cab43793e9f5
https://doi.org/10.1186/s13660-017-1571-0
https://doi.org/10.1186/s13660-017-1571-0