scientific article

DOI10.1512/iumj.1983.32.32025zbMath0488.35042OpenAlexW4252986401MaRDI QIDQ3949395

Laurent Véron, Jesús Ildefonso Díaz

Publication date: 1983

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.1983.32.32025

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

conservation lawsCauchy problemmultivalued operatorcompact supportmaximal monotone graphcomparison principlesfinite speed of propagationentropy conditionsemigroup solutionsolution in Kruzkov sense

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items

Source-type solutions of a singular conservation law with absorption, The singular limit of a bilateral obstacle problem for a class of degenerate parabolic-hyperbolic operators, Singular solutions and asymptotic behaviour for a class of conservation laws with absorption, Pointwise gradient estimates in multi-dimensional slow diffusion equations with a singular quenching term, Problème d'obstacle pour une équation quasi-linéaire du premier ordre, A conservation law with spatially localized sublinear damping, On a class of perturbed conservation laws, Existence and uniqueness of BV solutions for a conservation law with \(\sigma\)-finite Borel measures as initial conditions, On a class of generalized stochastic Browder mixed variational inequalities, A time-fractional step method for conservation law related obstacle problems, On the behavior of the solutions of the Cauchy problem for parabolic systems with nonlinear dissipation near the initial hyperplane