5 papers
Critical thresholds for the damped wave system with mixed product-type nonlinearities
Trung Loc Tang, Tuan Anh Dao, The Anh Cung
In this paper, we study the Cauchy problem for a coupled system of damped wave equations with mixed product-type nonlinearities. We have succeeded in determining the critical curve…
New definitions of decay indicators and critical exponent for fractional semi-linear structurally damped evolution equations on the Heisenberg group
Duc An Phan, The Anh Cung
In this paper, we introduce the lower and upper decay indicators and the associated decay character on the Heisenberg group. These notions are used to derive decay estimates for th…
Nonexistence for effectively damped waves with time-dependent mass
Duc An Phan, The Anh Cung, Trung Loc Tang
In this paper, we study the semilinear wave equations with effective time-dependent damping and a time…
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 th…
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…