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Sobolev regularity of multipliers in multidimensional control problems of Dieudonné‐Rashevsky type
Author(s) -
Wagner Marcus
Publication year - 2014
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201410451
Subject(s) - sobolev space , mathematics , regular polygon , type (biology) , pontryagin's minimum principle , maximum principle , space (punctuation) , pure mathematics , mathematical analysis , optimal control , mathematical optimization , computer science , geometry , geology , paleontology , operating system
Within Pontryagin's maximum principle for Dieudonné‐Rashevsky type problems with convex or polyconvex data, the multipliers associated with the state equation may be chosen from an appropriate Sobolev space. (© 2014 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)