Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds
Sürig P (2024)
Nonlinear Analysis 249: 113641.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Abstract / Bemerkung
We consider on Riemannian manifolds the nonlinear evolution equation partial derivative(t)u=Delta(p)(u(1/(p-1))), where p > 1. This equation is also known as a doubly non-linear parabolic equation or Trudinger's equation. We prove that weak sub-solutions of this equation have a sub-Gaussian upper bound and prove that this upper bound is sharp for a specific class of manifolds including R-n.
Stichworte
Trudinger equation;
Doubly nonlinear parabolic equation;
Riemannian;
manifold;
Sub-Gaussian estimate
Erscheinungsjahr
2024
Zeitschriftentitel
Nonlinear Analysis
Band
249
Art.-Nr.
113641
ISSN
0362-546X
eISSN
1873-5215
Page URI
https://pub.uni-bielefeld.de/record/2992539
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Sürig P. Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds. Nonlinear Analysis. 2024;249: 113641.
Sürig, P. (2024). Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds. Nonlinear Analysis, 249, 113641. https://doi.org/10.1016/j.na.2024.113641
Sürig, Philipp. 2024. “Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds”. Nonlinear Analysis 249: 113641.
Sürig, P. (2024). Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds. Nonlinear Analysis 249:113641.
Sürig, P., 2024. Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds. Nonlinear Analysis, 249: 113641.
P. Sürig, “Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds”, Nonlinear Analysis, vol. 249, 2024, : 113641.
Sürig, P.: Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds. Nonlinear Analysis. 249, : 113641 (2024).
Sürig, Philipp. “Sharp sub-Gaussian upper bounds for subsolutions of Trudinger's equation on Riemannian manifolds”. Nonlinear Analysis 249 (2024): 113641.
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