5 papers
Global existence of solutions for nonlinear damped wave equations in an exterior domain with nonlinearities of derivative type
Tuan Anh Dao, Dinh Van Duong, Masahiro Ikeda
In this paper, we are interested in considering the semi-linear damped wave equation with the power nonlinearity of derivative type in D exterior domains to indicate the global…
Generalized Stochastic Resilience for Early Warning Signals Based on Koopman Operator
Yuta Miyauchi, Masahiro Ikeda, Yoshinobu Kawahara
Developing methods for detecting tipping phenomena at an early stage is an important problem in various fields such as ecology, medicine, and economics. A tipping phenomenon is cha…
Asymptotically self-similar global solutions for Hardy-Hénon parabolic equations
Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi +1
We construct asymptotically self-similar global solutions to the Hardy-Hénon parabolic equation , , for a la…
Critical curve for the weakly coupled system of damped wave equations with mixed nonlinearities
Dinh Van Duong, Tuan Anh Dao, Masahiro Ikeda
In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi-linear damped wave equations with mixed nonlinear terms. Our main objective is to dr…
Optimal -blowup estimates of the Fractional Wave Equation
Masahiro Ikeda, Jinhong Zhao
This article deals with the behavior in time of the solution to the Cauchy problem for a fractional wave equation with a weighted initial data. Initially, we establish the gl…