Uniqueness and existence for anisotropic degenerate parabolic equations with boundary conditions on a bounded rectangle

FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

S N Kružkov · Mathematics of the USSR-Sbornik · 1970 · 1.8K citations

Natural Sciences, Mathematics, Differential Equations +6

First order quasilinear equations with boundary conditions

Claude Bardos, Alain Leroux, Jean-Claude Nédélec · Communications in Partial Differential Equations · 1979 · 676 citations

Natural Sciences, Mathematics, Physics +16

Entropy Solutions for Nonlinear Degenerate Problems

José Carrillo · Archive for Rational Mechanics and Analysis · 1999 · 478 citations

Natural Sciences, Mathematics, Differential Equations +12

A kinetic formulation of multidimensional scalar conservation laws and related equations

Pierre‐Louis Lions, Benoı̂t Perthame, Eitan Tadmor · Journal of the American Mathematical Society · 1994 · 461 citations

Natural Sciences, Mathematics, Physics +11

Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations

Gui‐Qiang Chen, Benoı̂t Perthame · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2003 · 216 citations · Full text

Natural Sciences, Mathematics, Differential Equations +11