Obstacles problems with measure data

2000/06/02 by Paolo Dall'Aglio, P. Dall'Aglio, Dall'Aglio, P. +3
Computer Science · Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Machine Learning and Algorithms #math.FA

paper · pdf · doi:10.48550/arxiv.math/0006010

24 pages

arxiv created 2000/06/02 · openalex publication_date 2000/06/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a definition for Obstacle Problems with measure data and general obstacles. For such problems we prove existence and uniqueness of solutions and consistency with the classical theory of Variational Inequalities. Continuous dependence with respect to data is discussed.

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