3 papers
math.AP2025
On the asymptotic profile of solutions to semilinear damped wave equations with critical nonlinearities
Trung Loc Tang, Dinh Van Duong
In this paper, we consider the Cauchy problem for a semilinear damped wave equation with the nonlinear term , where is a modulus of continuity. In recent pa…
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…
math.AP2023
On asymptotic properties of solutions to -evolution equations with general double damping
Tuan Anh Dao, Dinh Van Duong, Duc Anh Nguyen
In this paper, we would like to consider the Cauchy problem for semi-linear -evolution equations with double structural damping for any . The main purpose of the present…