6533b86dfe1ef96bd12ca21e

RESEARCH PRODUCT

Approximating the solutions of differential inclusions driven by measures

L. Di PiazzaBianca SatcoValeria Marraffa

subject

Differential inclusionGeneralityApplied MathematicsRegulated functionε-VariationMeasure (mathematics)BV functionUniform normDifferential inclusionSettore MAT/05 - Analisi MatematicaBV functionsApplied mathematicsUniform boundednessε-VariationsRegulated functionsDifferential (infinitesimal)Mathematics

description

The matter of approximating the solutions of a differential problem driven by a rough measure by solutions of similar problems driven by “smoother” measures is considered under very general assumptions on the multifunction on the right-hand side. The key tool in our investigation is the notion of uniformly bounded $$\varepsilon $$-variations, which mixes the supremum norm with the uniformly bounded variation condition. Several examples to motivate the generality of our outcomes are included.

yearjournalcountryeditionlanguage
2019-04-16Annali di Matematica Pura ed Applicata (1923 -)
https://doi.org/10.1007/s10231-019-00857-6