Weak convergence of asymptotically homogeneous functions of measures

DOI10.1016/0362-546X(90)90010-EzbMath0709.46011OpenAlexW1983937690MaRDI QIDQ3492158

Jeffrey Rauch, Francoise Demengel

Publication date: 1990

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(90)90010-e

zbMATH Keywords

asymptotically homogeneous functionssublinear functionsfunction of measureweak continuity of measure valued solutions of hyperbolic semilinear systems with respect to weakly convergent Cauchy data

Mathematics Subject Classification ID

Spaces of measures, convergence of measures (28A33) Spaces of measures (46E27) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (5)

Michell trusses in two dimensions as a \(\Gamma \)-limit of optimal design problems in linear elasticity ⋮ Noncoercive diffusion equations with Radon measures as initial data ⋮ Radon measure-valued solutions of quasilinear parabolic equations ⋮ Delta waves for a strongly singular initial-boundary hyperbolic problem with integral boundary condition ⋮ On a class of ill-posed minimization problems in image processing

Cites Work

• The Dirichlet problem for the multidimensional Monge-Ampère equation
• Sublinear functions of measures and variational integrals
• Measure valued solutions of asymptotically homogeneous semilinear hyperbolic systems in one space variable
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