• Article  

      Boundary value problems for quasilinear ODEs 

      Milakis, E. (2005)
      A priori bounds for the quasilinear ordinary differential equations (ODE), are discussed. A priori bounds for the derivative of the solution of one-dimensional p-Laplacian are proved. The global solvability of quasilinear ...
    • Article  

      Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation 

      Akrivis, Georgios; Smyrlis, Yiorgos-Sokratis (2004)
      We consider the periodic initial value problem for the Kuramoto-Sivashinsky (KS) equation. We approximate the solution by discretizing in time by implicit-explicit BDF schemes and in space by a pseudo-spectral method. We ...
    • Article  

      On the invariants of two dimensional linear parabolic equations 

      Tsaousi, Christina; Sophocleous, Christodoulos; Tracinà, Rita (2012)
      We consider the most general two dimensional linear parabolic equations. Motivated by the recent work of Ibragimov et al. [1-3] we construct differential invariants, semi-invariants and invariant equations. These results ...
    • Article  

      Regularity for fully nonlinear parabolic equations with oblique boundary data 

      Chatzigeorgiou, Georgiana; Milakis, Emmanouil (EMS Press, 2021)
      We obtain, up to a flat boundary, regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.