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math.DS2025
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…
math.AP2025
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…
math.AP2025
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…