Relaxation Approximations and Bounded Variation Estimates for some Partial Differential Equations
Date
2002-02-19
Authors
Caicedo, Francisco
Lu, Yunguang
Sepulveda, Mauricio
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
degenerate parabolic equation, hyperbolic conservation law, relaxation approximation
Citation
Caicedo, F., Lu, Y., & Sepulveda, M. (2002). Relaxation approximations and bounded variation estimates for some partial differential equations. <i>Electronic Journal of Differential Equations, 2002</i>(19), pp. 1-10.
Rights
Attribution 4.0 International