Existence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities.

Díaz Díaz, Jesús IldefonsoVéron, Laurent2023-06-212023-06-2119830022-251810.1512/iumj.1983.32.32025https://hdl.handle.net/20.500.14352/64670The 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 situation and some qualitative properties of the solutions are discussed.engExistence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities.journal articlehttp://www.iumj.indiana.edu/IUMJ/FULLTEXT/1983/32/32025restricted access517.955entropy conditionconservation lawsmultivalued operatorcomparison principlesfinite speed of propagationCauchy problemmaximal monotone graphsolution in Kruzkov sensesemigroup solutioncompact supportEcuaciones diferenciales1202.07 Ecuaciones en Diferencias