Preprint 2004-052

Existence of Solutions for a Class of Hyperbolic Systems of Conservations Laws in Several Space Dimensions

Luigi Ambrosio and Camillo De Lellis

Abstract: In this paper we prove a general existence result for bounded weak solutions of the following class of hyperbolic systems of conservation laws in several space dimensions

t ui + ∑α=1:nxα (fα(|u|) ui) = 0,     ui(0,⋅) = vi(&sdot)
where f∈W1,∞loc and v∈L with |v|≥c>0 $\leb^n$-a.e and |v|∈BVloc



Paper:
Available as gzipped PostScript (95 Kbytes; uncompress using gunzip).
Author(s):
Luigi Ambrosio <l.ambrosio@sns.it>
Camillo De Lellis, <delellis@math.unizh.ch>
Publishing information:
International Mathematics Research Notices 41:2205--2220
Comments:
Submitted by:
<delellis@math.unizh.ch> October 12 2004.


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