Approximations for Weakly Nonlinear Evolution Equations


Milan Miklavcic
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027

Published in Mathematics of Computation, 53(1989), 471-484.



Abstract:

Convergence of Galerkin approximations, of finite element type and of spectral type, for a large class of weakly nonlinear parabolic and hyperbolic equations is proven.


Here is the whole article in the PDF format.


For a simplified summary of results of my work in this area see:
Friedrichs Extension and Galerkin Approximations
Here is a section from my book highlighting the most interesting result and presenting an application.

For my related publications see:

  1. Galerkin approximations for singular linear elliptic and semilinear parabolic problems,
    Appl. Anal. 40(1991), 41-52.
    This is a joint work with S.-N. Chow and D. R. Dunninger

  2. Galerkin approximations for weakly nonlinear second order evolution equations,
    Funkcialaj Ekvacioj, 33(1990), 291-305.

Home Page of Milan Miklavcic.