16 citations · 79 across the 44 of their papers we have counts for
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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…
Sharp behavior of semilinear damped wave equations driven by mixed local-nonlocal operators
Wenhui Chen, Tuan Anh Dao
This paper investigates the Cauchy problem for the semilinear damped wave equation with the mixed local-nonlocal operator $\mathcal{L}_{a,b}:=…
Blow up results and lifespan estimates for nonlinear damped wave equations on weighted graphs
Tuan Anh Dao, Anh Tuan Duong
In this article, we are interested in studying the Cauchy problems for nonlinear damped wave equations and their systems on a weighted graph. Our main purpose is two-fold, namely,…
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 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…
Effect of additional regularity for the initial data on semi-linear -evolution equations with different damping types
Dinh Van Duong, Tuan Anh Dao
In this paper, we would like to study the critical exponent for semi-linear -evolution equations with different damping types under the influence of additional regularity for th…