Multi-dimensional scalar conservation laws with unbounded integrable initial data

S. Kružkov. First order quasilinear equations with several independent variables (in Russian). Mat. Sbornik (N.S.)

1970

Earlier work this paper cites.

M. Crandall. The semigroup approach to first order quasilinear equations in several space variables. Israel J. Math

1972

Earlier work this paper cites.

L. Tartar. Compensated compactness and applications to partial differential equations. Nonlinear analysis and mechanics: Heriot-Watt Symposium

1979

Earlier work this paper cites.

Ph. Bénilan, M. G. Crandall. Regularizing effects of homogeneous evolution equations. Contributions to analysis and geometry (Baltimore, Md., 1980)

1981

Earlier work this paper cites.

C. Dafermos. Regularity and large time behaviour of solutions of a conservation law without convexity. Proc. Royal Soc. Edinburgh

1985

Cited alongside, same era.

P.-L. Lions, B. Perthame, E. Tadmor. A kinetic formulation of multidimensional scalar conservation laws and related equations. J. Amer. Math. Soc

1994

Cited alongside, same era.

B. Perthame. Kinetic formulation of conservation laws

2002

Cited alongside, same era.

G. Crippa, F. Otto, M. Westdickenberg. Regularizing effect of nonlinearity in multidimensional scalar conservation laws. Transport equations and multi-D hyperbolic conservation laws

2008

Cited alongside, same era.

D. Serre. Compensated integrability. Applications to the Vlasov–Poisson equation and other models in mathematical physics. Journal de Mathématiques Pures et Appliquées

Cited in the paper.

L. Silvestre. Oscillation properties of scalar conservation laws. Preprint arXiv:1708.03401v3

Original

Cited in the paper.

F. Golse. Nonlinear regularizing effect for conservation laws. In Hyperbolic problems: theory, numerics and applications

2009

Later among the works it cites.

F. Golse, B. Perthame. Optimal regularizing effect for scalar conservation laws. Rev. Mat. Iberoam

2013

Later among the works it cites.

D. Serre. Divergence-free positive symmetric tensors and fluid dynamics. Annales de l’Institut Henri Poincaré (analyse non linéaire)

2017

Later among the works it cites.