L1-Theory of Scalar Conservation Law wit
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Boris P. Andreianov; Philippe BΓ©nilan; Stanislav N. Kruzhkov
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Article
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2000
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Elsevier Science
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English
β 221 KB
Uniqueness of a generalized entropy solution (g.e.s.) to the Cauchy problem for N-dimensional scalar conservation laws u t +div x ,(u)= g, u(0, } )= f with continuous flux function , is still an open problem. For data ( f, g) vanishing at infinity, we show that there exist a maximal and a minimal g.