%0 Journal Article
%A Bénilan, Philippe
%A Carrillo Menéndez, José
%A Wittbold, Petra
%T Renormalized entropy solutions of scalar conservation laws.
%D 2002
%@ 0391-173X
%U https://hdl.handle.net/20.500.14352/57417
%X 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.
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