6 papers · 1 filter
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…
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…
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 and…
Critical curve for a weakly coupled system of semi-linear -evolution equations with different damping types
Dinh Van Duong, Tuan Anh Dao, Michael Reissig
In this paper, we would like to consider the Cauchy problem for a weakly coupled system of semi linear evolution equations with different damping mechanisms for any ,…
Applications of estimates for solutions to semi-linear -evolution equations with general double damping
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to study the linear Cauchy problems for semi-linear -evolution models with mixing a parabolic like damping term corresponding to a…