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10. Connection of Conservation Laws with the Geometry of Space-Time

Publisher
Springer US
Year
1984
Tongue
English
Weight
536 KB
Volume
26
Category
Article
ISSN
1573-8795

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Solutions of Hamiltonโ€“Jacobi Equations a
Solutions of Hamiltonโ€“Jacobi Equations and Scalar Conservation Laws with Discontinuous Spaceโ€“Time Dependence
โœ Daniel N. Ostrov ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB

We establish a unique stable solution to the Hamilton-Jacobi equation x 2 รฐร€1; 1รž; t 2 ยฝ0; 1รž with Lipschitz initial condition, where Kรฐx; tรž is allowed to be discontinuous in the รฐx; tรž plane along a finite number of (possibly intersecting) curves parameterized by t: We assume that for fixed k;