Diaz, J. Ildefonso; Véron, Laurent Existence theory and qualitative properties of the solutions of some first order quasilinear variational inequalities. (English) Zbl 0488.35042 Indiana Univ. Math. J. 32, 319-361 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations 49J40 Variational inequalities 35J65 Nonlinear boundary value problems for linear elliptic equations 47H05 Monotone operators and generalizations 47H20 Semigroups of nonlinear operators 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs 35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs Keywords:entropy condition; conservation laws; multivalued operator; comparison principles; finite speed of propagation; Cauchy problem; maximal monotone graph; solution in Kruzkov sense; semigroup solution; compact support PDF BibTeX XML Cite \textit{J. I. Diaz} and \textit{L. Véron}, Indiana Univ. Math. J. 32, 319--361 (1983; Zbl 0488.35042) Full Text: DOI OpenURL