KOPFOVÁ, Jana and Vincenzo RECUPERO. Continuity of the non-convex play operator in the space of rectifiable curves. Applications of Mathematics. Springer Science and Business Media Deutschland GmbH, 2023, vol. 68, No 6, p. 727-750. ISSN 0862-7940. Available from: https://dx.doi.org/10.21136/AM.2023.0257-22. |
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@article{78147, author = {Kopfová, Jana and Recupero, Vincenzo}, article_number = {6}, doi = {http://dx.doi.org/10.21136/AM.2023.0257-22}, keywords = {evolution variational inequalities; functions of bounded variation; play operator; prox-regular set; sweeping processes}, language = {eng}, issn = {0862-7940}, journal = {Applications of Mathematics}, title = {Continuity of the non-convex play operator in the space of rectifiable curves}, url = {https://articles.math.cas.cz/10.21136/AM.2023.0257-22}, volume = {68}, year = {2023} }
TY - JOUR ID - 78147 AU - Kopfová, Jana - Recupero, Vincenzo PY - 2023 TI - Continuity of the non-convex play operator in the space of rectifiable curves JF - Applications of Mathematics VL - 68 IS - 6 SP - 727-750 EP - 727-750 PB - Springer Science and Business Media Deutschland GmbH SN - 08627940 KW - evolution variational inequalities KW - functions of bounded variation KW - play operator KW - prox-regular set KW - sweeping processes UR - https://articles.math.cas.cz/10.21136/AM.2023.0257-22 N2 - We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV-norm and to the BV-strict metric in the space of rectifiable curves, i.e., in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent. ER -
KOPFOVÁ, Jana and Vincenzo RECUPERO. Continuity of the non-convex play operator in the space of rectifiable curves. \textit{Applications of Mathematics}. Springer Science and Business Media Deutschland GmbH, 2023, vol.~68, No~6, p.~727-750. ISSN~0862-7940. Available from: https://dx.doi.org/10.21136/AM.2023.0257-22.
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