Multivariable Aumann Integrals and Controlled Wave Equations

Alberto Bressan; Fabiàn Flores

doi:10.1006/jmaa.1995.1020

Multivariable Aumann Integrals and Controlled Wave Equations

Alberto Bressan, Fabiàn Flores

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The paper is concerned with the closure, convexity, and other properties of joint marginal integrals of multifunctions in several independent variables. The results are then applied to a controlled wave equation, obtaining a bang-bang theorem and an existence theorem for optimal distributed controls, without the usual convexity assumptions.

Original language	English (US)
Pages (from-to)	315-334
Number of pages	20
Journal	Journal of Mathematical Analysis and Applications
Volume	189
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.1995.1020
State	Published - Jan 15 1995

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1006/jmaa.1995.1020

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title = "Multivariable Aumann Integrals and Controlled Wave Equations",

abstract = "The paper is concerned with the closure, convexity, and other properties of joint marginal integrals of multifunctions in several independent variables. The results are then applied to a controlled wave equation, obtaining a bang-bang theorem and an existence theorem for optimal distributed controls, without the usual convexity assumptions.",

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AB - The paper is concerned with the closure, convexity, and other properties of joint marginal integrals of multifunctions in several independent variables. The results are then applied to a controlled wave equation, obtaining a bang-bang theorem and an existence theorem for optimal distributed controls, without the usual convexity assumptions.

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Multivariable Aumann Integrals and Controlled Wave Equations

Abstract

All Science Journal Classification (ASJC) codes

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