Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Naoto Kajiwara"'
Autor:
Naoto Kajiwara
Publikováno v:
AIMS Mathematics, Vol 9, Iss 7, Pp 18186-18210 (2024)
In this paper, we give a solution formula for the two-phase Stokes equations with and without surface tension and gravity over the whole space with a flat interface. The solution formula has already been considered by Shibata and Shimizu. However, we
Externí odkaz:
https://doaj.org/article/4ba486dab7bd451b89046990c68a2a26
Autor:
Naoto Kajiwara1 kajwara@gifu-u.ac.jp
Publikováno v:
Advances in Differential Equations & Control Processes. Apr-Jun2022, Vol. 27, p55-71. 17p.
Autor:
Naoto Kajiwara
Publikováno v:
Advances in Differential Equations and Control Processes. 27:55-71
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::08c8de5422e7930394281d1f6aa85dcf
https://doi.org/10.17654/0974324322012
https://doi.org/10.17654/0974324322012
In this article, the periodic version of the classical Da Prato–Grisvard theorem on maximal $${{L}}^p$$ L p -regularity in real interpolation spaces is developed, as well as its extension to semilinear evolution equations. Applying this technique t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c1e9f0de835597dcfb2da45ab5978e0
Autor:
Ken Furukawa, Naoto Kajiwara
In this paper we consider maximal regularity for the vector-valued quasi-steady linear elliptic problems. The equations are the elliptic equation in the domain and the evolution equations on its boundary. We prove the maximal $L_p$-$L_q$ regularity f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a20fe93d5d4a453bbbb46415194c6af5
Publikováno v:
Hokkaido University Preprint Series in Mathematics. 1114:1-15
We prove the existence of strong time-periodic solutions to the bidomain equations with arbitrary large forces. We construct weak time-periodic solutions by a Galerkin method combined with Brouwer’s fixed point theorem and a priori estimate indepe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=jairo_______::4e186e91fe92ddb8a0f11acb44eef9fe
http://hdl.handle.net/2115/71354
http://hdl.handle.net/2115/71354
Autor:
Naoto Kajiwara
Publikováno v:
Communications in Mathematical Sciences. 16:239-250
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9fee5a8d7e32443e737f866f27c342f7
https://doi.org/10.4310/cms.2018.v16.n1.a11
https://doi.org/10.4310/cms.2018.v16.n1.a11
We prove the existence of strong time-periodic solutions to the bidomain equations with arbitrary large forces. We construct weak time-periodic solutions by a Galerkin method combined with Brouwer’s fixed point theorem and a priori estimate indepen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4505999933531a9829ce99223ec49b5c
Autor:
Yoshikazu Giga, Naoto Kajiwara
We study bidomain equations that are commonly used as a model to represent the electrophysiological wave propagation in the heart. We prove existence, uniqueness and regularity of a strong solution in $L^p$ spaces. For this purpose we derive an $L^\i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59b958770744826f116bf3330ee251d9