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The Riemann problem for nonconvex scalar conservation laws and Hamilton-Jacobi equations


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
69 KB
Volume
11
Category
Article
ISSN
0167-2789

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We establish a unique stable solution to the Hamilton-Jacobi equation x 2 ðÀ1; 1Þ; t 2 ½0; 1Þ with Lipschitz initial condition, where Kðx; tÞ is allowed to be discontinuous in the ðx; tÞ plane along a finite number of (possibly intersecting) curves parameterized by t: We assume that for fixed k;

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