9 citations · 11 across the 7 of their papers we have counts for
7 papers
Existence of global-in-time solutions to a system of fully nonlinear parabolic equations
Takahiro Kosugi, Ryuichi Sato
We consider the Cauchy problem for a system of fully nonlinear parabolic equations. In this paper, we shall show the existence of global-in-time solutions to the problem. Our condi…
General framework to construct local-energy solutions of nonlinear diffusion equations for growing initial data
Goro Akagi, Kazuhiro Ishige, Ryuichi Sato
This paper presents an integrated framework to construct local-energy solutions to fairly general nonlinear diffusion equations for initial data growing at infinity under suitable…
The Cauchy problem for the Finsler heat equation
Goro Akagi, Kazuhiro Ishige, Ryuichi Sato
Let be a norm of and the dual norm of . Denote by the Finsler-Laplace operator defined by $Δ_Hu:=\mbox{div}\,(H(\nabla u)\nabla_ξH(\nabla u))$. In th…
Heat equation with a nonlinear boundary condition and uniformly local spaces
Kazuhiro Ishige, Ryuichi Sato
We establish the local existence and the uniqueness of solutions of the heat equation with a nonlinear boundary condition for the initial data in uniformly local spaces. Furt…
Development of supersonic plasma flows by use of a magnetic nozzle and an ICRF heating
M. Inutake, A. Ando, K. Hattori +5
A high-beta, supersonic plasma flow plays a crucial role in MHD phenomena in space and fusion plasmas. There are a few experimental researches on production and control of a fast f…
D-brane correlators as solutions of Hirota-Miwa equation
Ryuichi Sato, Satoru Saito
We present a tachyon field, which simply connects to the calculus of the tachyon condensation. The tachyon field acts on any bare boundary state: the Neumann or the Dirichlet state…