Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Ôtani, Mitsuharu"'
Autor:
Kuroda, Takanori, Ôtani, Mitsuharu
In this paper, we are concerned with complex Ginzburg-Landau (CGL) equations. There are several results on the global existence and smoothing effects of solutions to the initial boundary value problem for (CGL) in bounded or unbounded domains. In thi
Externí odkaz:
http://arxiv.org/abs/2209.04728
Autor:
Kuroda, Takanori, Ôtani, Mitsuharu
In this paper, complex Ginzburg-Landau (CGL) equations with superlinear growth terms are studied. We discuss the local well-posedness in the energy space H1 for the initial-boundary value problem of the equations in general domains. The local well-po
Externí odkaz:
http://arxiv.org/abs/2209.04727
Autor:
Kita, Kosuke, Ôtani, Mitsuharu
In this paper, a new type of comparison theorem is presented for some initial-boundary value problems of second order nonlinear parabolic systems with nonlinear boundary conditions. This comparison theorem has an advantage over the classical ones, si
Externí odkaz:
http://arxiv.org/abs/2109.01803
We are concerned with the time-periodic problem of some doubly nonlinear equations governed by differentials of two convex functionals over uniformly convex Banach spaces. Akagi--Stefanelli (2011) considered Cauchy problem of the same equation via th
Externí odkaz:
http://arxiv.org/abs/2010.11570
Autor:
Haraux, Alain, Otani, Mitsuharu
Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and $\alpha$, c be positive constants. We show that all solutions of the evolution equation u + Au + cA $\alpha$ u = 0 with u(0) $\in$ D(A 1 2), u (0) $\in$ H belong fo
Externí odkaz:
http://arxiv.org/abs/1909.07067
Autor:
Kita, Kosuke, Ôtani, Mitsuharu
In this paper, we consider the large-time behavior of solutions of a reaction diffusion system arising from a nuclear reactor model with the Robin boundary conditions, which consists of two real-valued unknown functions. In particular, we show that g
Externí odkaz:
http://arxiv.org/abs/1811.03844
Autor:
Kuroda, Takanori, Ôtani, Mitsuharu
In this paper, complex Ginzburg-Landau (CGL) equations governed by p-Laplacian are studied. We discuss the global existence of solutions for the initial-boundary value problem of the equation in general domains. The global solvability of the initial-
Externí odkaz:
http://arxiv.org/abs/1805.04312
Autor:
Kuroda, Takanori, Ôtani, Mitsuharu
In this paper, we are concerned with the local well-posedness of the initial-boundary value problem for complex Ginzburg-Landau (CGL) equations in bounded domains. There are many studies for the case where the real part of its nonlinear term plays as
Externí odkaz:
http://arxiv.org/abs/1805.04275
In this paper, we are concerned with a reaction diffusion system arising from a nuclear reactor model in bounded domains with nonlinear boundary conditions. We show the existence of a stationary solution and its ordered uniqueness. It is also shown t
Externí odkaz:
http://arxiv.org/abs/1805.04244
Publikováno v:
In Journal of Differential Equations 5 December 2022 339:602-636
