### On the Convergence Rate of Operator Splitting for Weakly Coupled Systems of Hamilton-Jacobi Equations

Espen R. Jakobsen, Kenneth Hvistendahl Karlsen, and Nils Henrik Risebro

Abstract: Assuming existence and uniqueness of bounded Lipschitz continuous viscosity solutions to the initial value problem for weakly coupled systems of Hamilton-Jacobi equations, we establish a linear L$\infty$ convergence rate for a semi-discrete operator splitting. This paper complements our previous work [2] on the convergence rate of operator splitting for scalar Hamilton-Jacobi equations with source term.

Paper:
Available as PostScript.
Author(s):
Espen R. Jakobsen, <erj@math.ntnu.no>
Kenneth Hvistendahl Karlsen, <kennethk@mi.uib.no>
Nils Henrik Risebro, <nilshr@math.uio.no>
Publishing information:
Submitted to Proc. Hyp 2000
Comments:
Submitted by:
<erj@math.ntnu.no> June 14 2000.

[ 1996 | 1997 | 1998 | 1999 | 2000 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Mon Jun 19 13:19:35 MET DST 2000