6 papers · 1 filter
Asymptotically almost Periodic Solutions of the parabolic-parabolic Keller-Segel systems on bounded domains
Pham Truong Xuan
In this paper, we investigate the existence, uniqueness, and exponential decay of asymptotically almost periodic (AAP-) mild solutions for the parabolic-parabolic Keller-Segel syst…
On pseudo almost Periodic Solutions of the parabolic-elliptic Keller-Segel systems
Pham Truong Xuan, Nguyen Thi Van, Tran Minh Nguyet +1
In this paper we investigate the existence, uniqueness and exponential stability of pseudo almost periodic (PAP-) mild solutions of the parabolic-elliptic (P-E) Keller-Segel system…
Dispersive estimates and generalized Boussinesq equation on hyperbolic spaces with rough initial data
Lucas C. F. Ferreira, Pham T. Xuan
We consider the generalized Boussinesq (GBq) equation on the real hyperbolic space () in a rough framework based on Lorentz spaces. First, we establish dis…
Geometric scattering for nonlinear wave equations on the Schwarzschild metric
Pham Truong Xuan
In this paper, we establish a conformal scattering theory for defocusing semilinear wave equations on Schwarzschild spacetime. We combine the energy and pointwise decay results for…
On certain classes of mild solutions of the scalar Liénard equation revisited
Pham Truong Xuan, Nguyen Thi Van, Nguyen Thi Loan +1
In this work we revisit the existence, uniqueness and exponential decay of some classes of mild solutions which are almost periodic (AP-), asymptotically almost periodic (AAP-) and…
Interpolation scattering for wave equations with singular potentials and singular data
Pham Truong Xuan
In this paper we investigate a construction of scattering for wave-type equations with singular potentials on the whole space in a framework of weak- spaces. Fi…