9 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…
The application of decay character on the global behavior of damped wave equation with Riesz potential-type power nonlinearity
Trung Loc Tang, Dinh Van Duong, Duc An Phan
In this paper, our first objective is to investigate the decay rates and the global (in time) existence of solutions to the semilinear damped wave equation with the Riesz potential…
Critical exponent for semilinear damped wave equations with weighted nonlinear terms and data from Sobolev spaces of negative order
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to study the critical exponent for semilinear damped wave equations with the nonlinearity terms of Coulomb-type singularities an…
Existence of global solutions to semilinear damped wave equations with nonlinearities of derivative type
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to consider the semi-linear damped wave equation with the power nonlinearity of derivative type . The main contribution of this work is to imp…
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…
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…