Preprint 2000028
On the Convergence Rate of Operator Splitting for Weakly Coupled Systems
of HamiltonJacobi 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 HamiltonJacobi equations, we establish a linear L$\infty$
convergence rate for a semidiscrete operator splitting. This paper
complements our previous work [2] on the convergence
rate of operator splitting for scalar HamiltonJacobi 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.
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Last modified: Mon Jun 19 13:19:35 MET DST 2000