On Korn-Maxwell-Sobolev inequalities

Gmeineder, Franz; Spector, Daniel

On Korn-Maxwell-Sobolev inequalities

Dateien

Gmeineder_2-8x5r0dq5ro5b2.pdfGröße: 453.9 KBDownloads: 215

Datum

2021

Autor:innen

Gmeineder, Franz

Spector, Daniel

Open Access-Veröffentlichung

Open Access Hybrid

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Journal of Mathematical Analysis and Applications. Elsevier. 2021, 502(1), 125226. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2021.125226

Zusammenfassung

We establish a family of inequalities that allow one to estimate the L^q-norm of a matrix-valued field by the L^q-norm of an elliptic part and the L^p-norm of the matrix-valued curl. This particularly extends previous work byNeffet al. and, as a main novelty, is applicable in the regime p =1.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Korn's inequality, Fourier multipliers, Fractional integrals, Singular integrals, Sobolev inequalities, Incompatible tensor fields

Zitieren

ISO 690

GMEINEDER, Franz, Daniel SPECTOR, 2021. On Korn-Maxwell-Sobolev inequalities. In: Journal of Mathematical Analysis and Applications. Elsevier. 2021, 502(1), 125226. ISSN 0022-247X. eISSN 1096-0813. Available under: doi: 10.1016/j.jmaa.2021.125226

BibTex

@article{Gmeineder2021-10KornM-53869,
  year={2021},
  doi={10.1016/j.jmaa.2021.125226},
  title={On Korn-Maxwell-Sobolev inequalities},
  number={1},
  volume={502},
  issn={0022-247X},
  journal={Journal of Mathematical Analysis and Applications},
  author={Gmeineder, Franz and Spector, Daniel},
  note={Article Number: 125226}
}

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