3 papers
math.AP2025
Well-posedness of the initial boundary value problem for the motion of an inextensible hanging string
Tatsuo Iguchi, Masahiro Takayama
We consider the motion of an inextensible hanging string of finite length under the action of the gravity. The motion is governed by nonlinear and nonlocal hyperbolic equations, wh…
math.AP2024
Well-posedness of the initial boundary value problem for degenerate hyperbolic systems with a localized term and its application to the linearized system for the motion of an inextensible hanging string
Tatsuo Iguchi, Masahiro Takayama
Motivated by an analysis on the well-posedness of the initial boundary value problem for the motion of an inextensible hanging string, we first consider an initial boundary value p…
math.AP2023
A priori estimates for solutions to equations of motion of an inextensible hanging string
Tatsuo Iguchi, Masahiro Takayama
We consider the initial boundary value problem to equations of motion of an inextensible hanging string of finite length under the action of the gravity. We also consider the probl…