12 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…
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 a system of semilinear damped -evolution equations with different damping types in the critical case
Trung Loc Tang, Tuan Anh Dao, The Anh Cung
In this paper, we study the non-symmetric system of semilinear damped -evolution equations with different damping types, where two power exponents of nonlinearities belong to t…
Blow-up and sharp lifespan estimates to the weakly coupled system of structurally damped wave equations with critical nonlinearities
Trung Loc Tang, Tuan Anh Dao, The Anh Cung
In this paper, we would like to study the weakly coupled system of semilinear structurally damped wave equations with moduli of continuity in nonlinear terms whose powers belong to…
Non-existence results for a system of wave inequalities on locally finite graphs
Anh Tuan Duong, Tuan Anh Dao
Let be a locally finite, connected and weighted graph. We study non-existence results of non-trivial, non-negative solutions of the system $$ \begin{cases} u_{t t}-Îu \geq h_1…