1 citations · 1 across the 3 of their papers we have counts for
9 papers · 1 filter
Periodic Solutions of the complex Ginzburg-Landau Equation in bounded domains
Takanori Kuroda, Mitsuharu Ôtani
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 bo…
Local well-posedness of the complex Ginzburg-Landau Equation in general domains
Takanori Kuroda, Mitsuharu Ôtani
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-boundar…
On a comparison theorem for parabolic equations with nonlinear boundary conditions
Kosuke Kita, Mitsuharu Ôtani
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…
Periodic Problem for Doubly Nonlinear Evolution Equation
Masahiro Koike, Mitsuharu Ôtani, Shun Uchida
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--S…
On spatial Gevrey regularity for some strongly dissipative second order evolution equations
Alain Haraux, Mitsuharu Otani
Let A be a positive self-adjoint linear operator acting on a real Hilbert space H and , c be positive constants. We show that all solutions of the evolution equation u + Au + cA…
Bounds for global solutions of a reaction diffusion system with the Robin boundary conditions
Kosuke Kita, Mitsuharu Ôtani
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 consis…