Geodesic
Relaxation approximations and bounded variation estimates for some partial differential equations
Electronic journal of differential equations, Tome 2002 (2002)
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.
Classification : 35B40, 35D10, 35K15, 35K65, 35L65
Keywords: degenerate parabolic equation, hyperbolic conservation laws, relaxation approximation 
@article{EJDE_2002__2002__a182,
     author = {Caicedo,  Francisco and Lu,  Yunguang and Sup\'ulveda,  Mauricio},
     title = {Relaxation approximations and bounded variation estimates for some partial differential equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {0999.35059},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a182/}
}
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AU  - Lu,  Yunguang
AU  - Supúlveda,  Mauricio
TI  - Relaxation approximations and bounded variation estimates for some partial differential equations
JO  - Electronic journal of differential equations
PY  - 2002
VL  - 2002
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LA  - en
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%A Lu,  Yunguang
%A Supúlveda,  Mauricio
%T Relaxation approximations and bounded variation estimates for some partial differential equations
%J Electronic journal of differential equations
%D 2002
%V 2002
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a182/
%G en
%F EJDE_2002__2002__a182
Caicedo,  Francisco; Lu,  Yunguang; Supúlveda,  Mauricio. Relaxation approximations and bounded variation estimates for some partial differential equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a182/