Field Theory for Integrands with Low Regularity

Standard

Field Theory for Integrands with Low Regularity. / Gratwick, Richard; Sychev, Mikhail A.

In: Journal of Convex Analysis, Vol. 28, No. 3, 2021.

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

Harvard

Gratwick, R & Sychev, MA 2021, 'Field Theory for Integrands with Low Regularity', Journal of Convex Analysis, vol. 28, no. 3.

APA

Gratwick, R., & Sychev, M. A. (2021). Field Theory for Integrands with Low Regularity. Journal of Convex Analysis, 28(3).

Vancouver

Gratwick R, Sychev MA. Field Theory for Integrands with Low Regularity. Journal of Convex Analysis. 2021;28(3).

Author

Gratwick, Richard ; Sychev, Mikhail A. / Field Theory for Integrands with Low Regularity. In: Journal of Convex Analysis. 2021 ; Vol. 28, No. 3.

BibTeX

@article{c8fb08c284e448c083dff062a5d1dd5a,

title = "Field Theory for Integrands with Low Regularity",

abstract = "We develop a field theory for one-dimensional variational problems defined via integrands with low regularity and singular ellipticity. This is developed via a priori existence and regularity results for one-dimensional obstacle problems with such integrands.",

keywords = "Existence and regularity in small, Field theory, Integral functionals, Obstacle problems, Singular ellipticity, Tonelli regularity",

author = "Richard Gratwick and Sychev, {Mikhail A.}",

year = "2021",

language = "English",

volume = "28",

journal = "Journal of Convex Analysis",

issn = "0944-6532",

publisher = "Heldermann Verlag",

number = "3",

}

RIS

TY - JOUR

T1 - Field Theory for Integrands with Low Regularity

AU - Gratwick, Richard

AU - Sychev, Mikhail A.

PY - 2021

Y1 - 2021

N2 - We develop a field theory for one-dimensional variational problems defined via integrands with low regularity and singular ellipticity. This is developed via a priori existence and regularity results for one-dimensional obstacle problems with such integrands.

AB - We develop a field theory for one-dimensional variational problems defined via integrands with low regularity and singular ellipticity. This is developed via a priori existence and regularity results for one-dimensional obstacle problems with such integrands.

KW - Existence and regularity in small

KW - Field theory

KW - Integral functionals

KW - Obstacle problems

KW - Singular ellipticity

KW - Tonelli regularity

UR - http://www.scopus.com/inward/record.url?scp=85099647296&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85099647296

VL - 28

JO - Journal of Convex Analysis

JF - Journal of Convex Analysis

SN - 0944-6532

IS - 3

ER -

ID: 27646324