TY - JOUR AU - Díaz Díaz, Jesús Ildefonso AU - Véron, Laurent PY - 1983 DO - 10.1512/iumj.1983.32.32025 SN - 0022-2518 UR - https://hdl.handle.net/20.500.14352/64670 T2 - Indiana University Mathematics Journal AB - The authors consider first-order equations in "conservation laws'' form perturbed by a semilinear nonlinearity of monotone type. The known existence and uniqueness results for conservation laws—results due to Kruzhkov—are easily adapted to this... LA - eng M2 - 319 PB - Indiana University KW - entropy condition KW - conservation laws KW - multivalued operator KW - comparison principles KW - finite speed of propagation KW - Cauchy problem KW - maximal monotone graph KW - solution in Kruzkov sense KW - semigroup solution KW - compact support TI - Existence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities. TY - journal article VL - 32 ER -