Optimal regularity in time and space for the porous medium equation
Gess B, Sauer J, Tadmor E (2020)
Analysis & PDE 13(8): 2441-2480.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Gess, BenjaminUniBi;
Sauer, Jonas;
Tadmor, Eitan
Einrichtung
Abstract / Bemerkung
Regularity estimates in time and space for solutions to the porous medium equation are shown in the scale of Sobolev spaces. In addition, higher spatial regularity for powers of the solutions is obtained. Scaling arguments indicate that these estimates are optimal. In the linear limit, the proven regularity estimates are consistent with the optimal regularity of the linear case.
Stichworte
porous medium equation;
entropy solutions;
kinetic formulation;
velocity;
averaging;
regularity results
Erscheinungsjahr
2020
Zeitschriftentitel
Analysis & PDE
Band
13
Ausgabe
8
Seite(n)
2441-2480
eISSN
1948-206X
Page URI
https://pub.uni-bielefeld.de/record/2951317
Zitieren
Gess B, Sauer J, Tadmor E. Optimal regularity in time and space for the porous medium equation. Analysis & PDE . 2020;13(8):2441-2480.
Gess, B., Sauer, J., & Tadmor, E. (2020). Optimal regularity in time and space for the porous medium equation. Analysis & PDE , 13(8), 2441-2480. doi:10.2140/apde.2020.13.2441
Gess, Benjamin, Sauer, Jonas, and Tadmor, Eitan. 2020. “Optimal regularity in time and space for the porous medium equation”. Analysis & PDE 13 (8): 2441-2480.
Gess, B., Sauer, J., and Tadmor, E. (2020). Optimal regularity in time and space for the porous medium equation. Analysis & PDE 13, 2441-2480.
Gess, B., Sauer, J., & Tadmor, E., 2020. Optimal regularity in time and space for the porous medium equation. Analysis & PDE , 13(8), p 2441-2480.
B. Gess, J. Sauer, and E. Tadmor, “Optimal regularity in time and space for the porous medium equation”, Analysis & PDE , vol. 13, 2020, pp. 2441-2480.
Gess, B., Sauer, J., Tadmor, E.: Optimal regularity in time and space for the porous medium equation. Analysis & PDE . 13, 2441-2480 (2020).
Gess, Benjamin, Sauer, Jonas, and Tadmor, Eitan. “Optimal regularity in time and space for the porous medium equation”. Analysis & PDE 13.8 (2020): 2441-2480.
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