@article{RSMUP_2014__132__1_0, author = {Adimurthi and Sundar Ghoshal, Shyam and Veerappa Gowda, G. D.}, title = {Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {1--24}, publisher = {Seminario Matematico of the University of Padua}, volume = {132}, year = {2014}, mrnumber = {3276822}, zbl = {06379712}, language = {en}, url = {http://archive.numdam.org/item/RSMUP_2014__132__1_0/} }
TY - JOUR AU - Adimurthi AU - Sundar Ghoshal, Shyam AU - Veerappa Gowda, G. D. TI - Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2014 SP - 1 EP - 24 VL - 132 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2014__132__1_0/ LA - en ID - RSMUP_2014__132__1_0 ER -
%0 Journal Article %A Adimurthi %A Sundar Ghoshal, Shyam %A Veerappa Gowda, G. D. %T Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux %J Rendiconti del Seminario Matematico della Università di Padova %D 2014 %P 1-24 %V 132 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2014__132__1_0/ %G en %F RSMUP_2014__132__1_0
Adimurthi; Sundar Ghoshal, Shyam; Veerappa Gowda, G. D. Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux. Rendiconti del Seminario Matematico della Università di Padova, Volume 132 (2014), pp. 1-24. http://archive.numdam.org/item/RSMUP_2014__132__1_0/
[1] Structure of the entropy solution of a scalar conservation law with strict convex flux, J. Hyperbolic Differ. Equ. 9 (2012), no. 4, 571–611. | MR | Zbl
,[2] Exact controllability of scalar conservation law with strict convex flux, Math. Control Relat. Fields 4 (2014), no. 4. | MR | Zbl
,[3] Optimal controllability for scalar conservation law with convex flux, J. Hyperbolic Differ. Equ. 11 (2014), no. 3, 477–491. | MR | Zbl
,[4] Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, 2000. | MR | Zbl
- - ,[5] A note on admissible solutions of 1D scalar conservation laws and 2D Hamilton-Jacobi equations. J. Hyperbolic Differ. Equ. 1 (2004), no. 4, 81–3826. | MR | Zbl
- ,[6] SBV-like regularity for Hamilton-Jacobi equations with a convex Hamiltonian, J. Math. Anal. Appl. 391 (2012), no. 1, 190–208. | MR | Zbl
- ,[7] SBV regularity for scalar conservation laws, Preprint. | MR | Zbl
,[8] SBV regularity for Hamilton-Jacobi equations in Rn. Arch. Ration. Mech. Anal. 200 (2011), no. 3, 1003–1021. | MR | Zbl
- - ,[9] SBV regularity of genuinely nonlinear hyperbolic systems of conservation laws in one space dimension. Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 1, 380–388. | MR | Zbl
,[10] SBV regularity for genuinely nonlinear, strictly hyperbolic systems of conservation laws in one space dimension. Comm. Math. Phys. 313 (2012), no. 1, 133. | MR | Zbl
- ,[11] An elementary proof of Lebesgue differentiation theorem, Amer. Math. Monthly 110 (2003), no. 9, 834–838. | MR | Zbl
,[12] Partial differential equations, Graduate studies in Mathematics, vol. 19, AMS 1998. | Zbl
,[13] Measure theory and fine properties of functions, CRC Press, 1992. | MR | Zbl
- ,[14] First order quasilinear equations with several independent variables. Mat. Sb. (N.S.) 81 (123), 1970, 228255; English translation in: Math. USSR-Sb. 10 (1970), no. 2, 217–243. | MR | Zbl
,[15] SBV regularity of entropy solutions for a class of genuinely nonlinear scalar balance laws with non-convex flux function. J. Hyperbolic Differ. Equ. 5 (2008), no. 2, 449–475. | MR | Zbl
,[16] Some applications of the SBV Regularity Theorem for entropy solutions of 1D scalar conservation laws to convection theory and sticky particles, Riv. Mat. Univ. Parma (N.S.) 3 (2012), no. 1, 163–175. | MR | Zbl
,