RT Journal Article
T1 Renormalized entropy solutions of scalar conservation laws.
A1 Bénilan, Philippe
A1 Carrillo Menéndez, José
A1 Wittbold, Petra
AB A scalar conservation law ut +div (u) = f is considered with the initial datum u|t=0 = u0 2 L1 loc(RN) and f 2 L1loc(RN ×(0, T)) only. In this case the classical Krushkov condition can make no sense because of unboundedness of u, if no growth condition on  is assumed. This obstacleis overcome by introducing the so-called renormalized entropy solution generalizing the classical one. Existence and uniqueness of such a solution is established.
PB Scuola Normale Superiore
SN 0391-173X
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57417
UL https://hdl.handle.net/20.500.14352/57417
LA eng
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DS Docta Complutense
RD 2 may 2024