Parabolic weighted Sobolev-Poincaré type inequalities

Diening, Lars; Lee, Mikyoung; Ok, Jihoon

Parabolic weighted Sobolev-Poincaré type inequalities

Diening L, Lee M, Ok J (2022)
Nonlinear Analysis : Theory, Methods & Applications 218: 112772.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

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URL

https://arxiv.org/pdf/2108.00656.pdf

DOI

https://doi.org/10.1016/j.na.2021.112772

Autor*in

Diening, Lars^UniBi ; Lee, Mikyoung; Ok, Jihoon

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

We derive weighted Sobolev-Poincare type inequalities in function spaces concerned with parabolic partial differential equations. We consider general weights depending on both space and time variables belonging to a Muckenhoupt class, so-called the parabolic A(p)-class, where only the parabolic cubes are involved in the definition.

Erscheinungsjahr

2022

Zeitschriftentitel

Nonlinear Analysis : Theory, Methods & Applications

Band

218

Art.-Nr.

112772

ISSN

0362-546X

eISSN

1873-5215

Page URI

https://pub.uni-bielefeld.de/record/2960478

Zitieren

Diening L, Lee M, Ok J. Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications . 2022;218: 112772.

Diening, L., Lee, M., & Ok, J. (2022). Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications , 218, 112772. https://doi.org/10.1016/j.na.2021.112772

Diening, Lars, Lee, Mikyoung, and Ok, Jihoon. 2022. “Parabolic weighted Sobolev-Poincaré type inequalities”. Nonlinear Analysis : Theory, Methods & Applications 218: 112772.

Diening, L., Lee, M., and Ok, J. (2022). Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications 218:112772.

Diening, L., Lee, M., & Ok, J., 2022. Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications , 218: 112772.

L. Diening, M. Lee, and J. Ok, “Parabolic weighted Sobolev-Poincaré type inequalities”, Nonlinear Analysis : Theory, Methods & Applications , vol. 218, 2022, : 112772.

Diening, L., Lee, M., Ok, J.: Parabolic weighted Sobolev-Poincaré type inequalities. Nonlinear Analysis : Theory, Methods & Applications . 218, : 112772 (2022).

Diening, Lars, Lee, Mikyoung, and Ok, Jihoon. “Parabolic weighted Sobolev-Poincaré type inequalities”. Nonlinear Analysis : Theory, Methods & Applications 218 (2022): 112772.

Link(s) zu Volltext(en)

URL

https://arxiv.org/pdf/2108.00656.pdf

Access Level

Open Access