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Renormalized Entropy Solutions of Scalar Conservation Laws with Boundary Condition

✍ Scribed by Jose Carrillo; Petra Wittbold

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
219 KB
Volume
185
Category
Article
ISSN
0022-0396

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✍ Daniel N. Ostrov 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 235 KB

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;