Browsing by Author "312232ac-6edb-45a5-983e-f34f86f3eb18"

Now showing items 1-5 of 5

    • Asymptotic to systems with memory and non-local initial data 
      Muñoz Rivera, Jaime E.; Poblete Oviedo, Verónica; Pozo, Juan C.; Vera, Octavio (World Scientific Publishing, 2020)
      We study the existence and the asymptotic behavior of the solution of an abstract viscoelastic system submitted to non-local initial data. u(tt )+ Au - integral(t)(0) g(t - s)Bu(s)ds = 0 u(0) = xi(u) in V, u(t) (0) = eta(u) ...
    • Periodic solutions of an abstract third-order differential equation 
      Poblete, Verónica; Pozo, Juan C. (2013)
      Using operator valued Fourier multipliers, we characterize maximal regularity for the abstract third-order differential equation αu′″ (t)+u″ (t) = βAu(t)+γBu′(t) + f(t) with boundary conditions u(0) = u(2π), u′(0) = u′(2π) ...
    • Scattering in the Energy Space for Boussinesq Equations 
      Muñoz, Claudio; Poblete, Felipe; Pozo, Juan (Springer, 2018-07)
      In this note we show that all small solutions in the energy space of the generalized 1D Boussinesq equation must decay to zero as time tends to infinity, strongly on slightly proper subsets of the space-time light cone. ...
    • Strong solutions of a neutral type equation with finite delay 
      Poblete, Verónica; Poblete, Felipe; Pozo, Juan C. (Birkhauser Verlag AG, 2019)
      © 2019, Springer Nature Switzerland AG. This paper is concerned to study the existence and uniqueness of solution of neutral type differential equations, by using the maximal regularity property of the first-order abstract ...
    • The scattering problem for Hamiltonian ABCD Boussinesq systems in the energy space 
      Kwak, Chulkwang; Muñoz, Claudio; Poblete, Felipe; Pozo, Juan C. (Elsevier Masson SAS, 2019)
      © 2018 Elsevier Masson SASThe Boussinesq abcd system is a 4-parameter set of equations posed in Rt×Rx, originally derived by Bona, Chen and Saut [11,12] as first order 2-wave approximations of the incompressible and ...