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On exterior differential systems involving differentials of Hölder functions. / Stepanov, Eugene; Trevisan, Dario.

в: Journal of Differential Equations, Том 337, 15.11.2022, стр. 91-137.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Stepanov, E & Trevisan, D 2022, 'On exterior differential systems involving differentials of Hölder functions', Journal of Differential Equations, Том. 337, стр. 91-137. https://doi.org/10.1016/j.jde.2022.07.037

APA

Stepanov, E., & Trevisan, D. (2022). On exterior differential systems involving differentials of Hölder functions. Journal of Differential Equations, 337, 91-137. https://doi.org/10.1016/j.jde.2022.07.037

Vancouver

Stepanov E, Trevisan D. On exterior differential systems involving differentials of Hölder functions. Journal of Differential Equations. 2022 Нояб. 15;337:91-137. https://doi.org/10.1016/j.jde.2022.07.037

Author

Stepanov, Eugene ; Trevisan, Dario. / On exterior differential systems involving differentials of Hölder functions. в: Journal of Differential Equations. 2022 ; Том 337. стр. 91-137.

BibTeX

@article{749dc4967a2249549619a6dab504a0ef,
title = "On exterior differential systems involving differentials of H{\"o}lder functions",
abstract = "We study the validity of an extension of Frobenius theorem on integral manifolds for some classes of Pfaff-type systems of partial differential equations involving multidimensional “rough” signals, i.e. “differentials” of given H{\"o}lder continuous functions interpreted in a suitable way, similarly to Young Differential Equations in Rough Paths theory. This can be seen as a tool to study solvability of exterior differential systems involving rough differential forms, i.e. the forms involving weak (distributional) derivatives of highly irregular (e.g. H{\"o}lder continuous) functions; the solutions (integral manifolds) being also some very weakly regular geometric structures.",
keywords = "Exterior differential systems, Frobenius theorem, Rough paths, Weak geometric structures, Young differential equations",
author = "Eugene Stepanov and Dario Trevisan",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = nov,
day = "15",
doi = "10.1016/j.jde.2022.07.037",
language = "English",
volume = "337",
pages = "91--137",
journal = "Journal of Differential Equations",
issn = "0022-0396",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On exterior differential systems involving differentials of Hölder functions

AU - Stepanov, Eugene

AU - Trevisan, Dario

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022/11/15

Y1 - 2022/11/15

N2 - We study the validity of an extension of Frobenius theorem on integral manifolds for some classes of Pfaff-type systems of partial differential equations involving multidimensional “rough” signals, i.e. “differentials” of given Hölder continuous functions interpreted in a suitable way, similarly to Young Differential Equations in Rough Paths theory. This can be seen as a tool to study solvability of exterior differential systems involving rough differential forms, i.e. the forms involving weak (distributional) derivatives of highly irregular (e.g. Hölder continuous) functions; the solutions (integral manifolds) being also some very weakly regular geometric structures.

AB - We study the validity of an extension of Frobenius theorem on integral manifolds for some classes of Pfaff-type systems of partial differential equations involving multidimensional “rough” signals, i.e. “differentials” of given Hölder continuous functions interpreted in a suitable way, similarly to Young Differential Equations in Rough Paths theory. This can be seen as a tool to study solvability of exterior differential systems involving rough differential forms, i.e. the forms involving weak (distributional) derivatives of highly irregular (e.g. Hölder continuous) functions; the solutions (integral manifolds) being also some very weakly regular geometric structures.

KW - Exterior differential systems

KW - Frobenius theorem

KW - Rough paths

KW - Weak geometric structures

KW - Young differential equations

UR - http://www.scopus.com/inward/record.url?scp=85135825177&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/6d8987a5-eb78-39d4-8085-c369aaee0684/

U2 - 10.1016/j.jde.2022.07.037

DO - 10.1016/j.jde.2022.07.037

M3 - Article

AN - SCOPUS:85135825177

VL - 337

SP - 91

EP - 137

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

ER -

ID: 100611438