Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 19, pp. 1-10.

Title:  Relaxation approximations and bounded variation estimates 
        for some partial differential equations
   
Authors: Francisco Caicedo (Univ. Nacional, Bogota, Colombia)
         Yunguang Lu   (Univ. Nacional, Bogota, Colombia)
         Mauricio Sepulveda (Univ.  de Concepcion, Chile)

Abstract: 
 In this paper, we introduce a new technique for studying solutions of 
 bounded variation for some conservation laws of first order partial 
 differential equations and for some degenerate parabolic equations 
 in multi-dimensional space. The connection between these
 two types of equations is the  vanishing relaxation method.
 
Submitted November 15, 2001. Published February 19, 2002.
Math Subject Classifications: 35B40, 35D10, 35K15, 35K65, 35L65.
Key Words: Degenerate parabolic equation; Hyperbolic conservation laws; 
           Relaxation approximation.