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On the two-state problem for general differential operators
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De Philippis, Guido, Palmieri, Luca and Rindler, Filip (2018) On the two-state problem for general differential operators. Nonlinear Analysis: Theory, Methods & Applications, 177 (Part B). pp. 387-396. doi:10.1016/j.na.2018.03.015 ISSN 1873-5215.
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Official URL: https://doi.org/10.1016/j.na.2018.03.015
Abstract
In this note we generalize the Ball-James rigidity theorem for gradient differential inclusions to the setting of a general linear differential constraint. In particular, we prove the rigidity for approximate solutions to the two-state inclusion with incompatible states for merely -bounded sequences. In this way, our theorem can be seen as a result of compensated compactness in the linear-growth setting.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Differential operators | ||||||||||||
Journal or Publication Title: | Nonlinear Analysis: Theory, Methods & Applications | ||||||||||||
Publisher: | Pergamon-Elsevier Science Ltd | ||||||||||||
ISSN: | 1873-5215 | ||||||||||||
Official Date: | December 2018 | ||||||||||||
Dates: |
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Volume: | 177 | ||||||||||||
Number: | Part B | ||||||||||||
Page Range: | pp. 387-396 | ||||||||||||
DOI: | 10.1016/j.na.2018.03.015 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
Date of first compliant deposit: | 5 April 2018 | ||||||||||||
Date of first compliant Open Access: | 5 April 2018 | ||||||||||||
RIOXX Funder/Project Grant: |
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