Caicedo, FranciscoLu, YunguangSepulveda, Mauricio2020-07-132020-07-132002-02-19Caicedo, 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. 1-10.1072-6691https://hdl.handle.net/10877/12059In 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.Text10 pages1 file (.pdf)enAttribution 4.0 Internationaldegenerate parabolic equationhyperbolic conservation lawrelaxation approximationArticle