4 papers
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 tim…
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…
A new critical exponent for the semilinear damped wave equation with Hartree-type nonlinearity and initial data from homogeneous Besov spaces
Duc An Phan
In this paper, we investigate the critical exponent for a semi-linear damped wave equation involving a Hartree-type nonlinearity of the form $\mathcal{I}_γ\left(|u|^{p_1}\right)|u…