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:
- 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
- Galerkin approximations for weakly nonlinear second order evolution
equations,
Funkcialaj Ekvacioj, 33(1990), 291-305.
Home Page of Milan Miklavcic.