Geodesic
SBV regularity of systems of conservation laws and Hamilton--Jacobi equations
Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 31-43

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We review the SBV regularity for solutions to hyperbolic systems of conservation laws and Hamilton–Jacobi equations. We give an overview of the techniques involved in the proof, and a collection of related problems concludes the paper. 
@article{CMFD_2012_46_a1,
     author = {S. Bianchini},
     title = {SBV regularity of systems of conservation laws and {Hamilton--Jacobi} equations},
     journal = {Contemporary Mathematics. Fundamental Directions},
     pages = {31--43},
     publisher = {mathdoc},
     volume = {46},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CMFD_2012_46_a1/}
}
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S. Bianchini. SBV regularity of systems of conservation laws and Hamilton--Jacobi equations. Contemporary Mathematics. Fundamental Directions, Proceedings of the Sixth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2011). Part 2, Tome 46 (2012), pp. 31-43. http://geodesic.mathdoc.fr/item/CMFD_2012_46_a1/