Finite propagation speed for Leibenson's equation on Riemannian manifolds
Grigoryan A, Sürig P (2024)
Communications in Analysis and Geometry 32(9): 2467-2504.
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| Veröffentlicht | Englisch
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Abstract / Bemerkung
We consider on arbitrary Riemannian manifolds the Leibenson equation partial derivative(tu) = Delta(p)uq. This equation is also known as doubly nonlinear evolution equation. It comes from hydrodynamics where it describes filtration of a turbulent compressible liquid in porous medium. We prove that that, under optimal restrictions on p and q, weak subsolutions to this equation have finite propagation speed.
Erscheinungsjahr
2024
Zeitschriftentitel
Communications in Analysis and Geometry
Band
32
Ausgabe
9
Seite(n)
2467-2504
ISSN
1019-8385
eISSN
1944-9992
Page URI
https://pub.uni-bielefeld.de/record/3001620
Zitieren
Grigoryan A, Sürig P. Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry. 2024;32(9):2467-2504.
Grigoryan, A., & Sürig, P. (2024). Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry, 32(9), 2467-2504. https://doi.org/10.4310/CAG.241212033658
Grigoryan, Alexander, and Sürig, Philipp. 2024. “Finite propagation speed for Leibenson's equation on Riemannian manifolds”. Communications in Analysis and Geometry 32 (9): 2467-2504.
Grigoryan, A., and Sürig, P. (2024). Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry 32, 2467-2504.
Grigoryan, A., & Sürig, P., 2024. Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry, 32(9), p 2467-2504.
A. Grigoryan and P. Sürig, “Finite propagation speed for Leibenson's equation on Riemannian manifolds”, Communications in Analysis and Geometry, vol. 32, 2024, pp. 2467-2504.
Grigoryan, A., Sürig, P.: Finite propagation speed for Leibenson's equation on Riemannian manifolds. Communications in Analysis and Geometry. 32, 2467-2504 (2024).
Grigoryan, Alexander, and Sürig, Philipp. “Finite propagation speed for Leibenson's equation on Riemannian manifolds”. Communications in Analysis and Geometry 32.9 (2024): 2467-2504.
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