The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions

Alexander Logunov, Eugenia Malinnikova, Nikolaï Nadirashvili, Fëdor Nazarov

Type: Preprint

Publication Date: 2021-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.2104.09012

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	The sharp upper bound for the area of the nodal sets of Dirichlet Laplace eigenfunctions	2021	Alexander Logunov Eugenia Malinnikova Nikolaï Nadirashvili Fëdor Nazarov
+ PDF Chat	The Sharp Measure Upper Bound of the Nodal Sets of Neumann Laplace Eigenfunctions on C1,1 Domains	2024	X. Chen Xiaoping Yang
+	Hausdorff measure bound for the nodal sets of Neumann Laplace eigenfunctions	2023	Shaghayegh Fazliani
+ PDF Chat	The sharp estimate of nodal sets for Dirichlet Laplace eigenfunctions in polytopes	2024	Yingying Cai Jinping Zhuge
+	Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure	2016	Alexander Logunov
+	Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure	2016	А. А. Логунов
+ PDF Chat	Nodal sets of Laplace eigenfunctions: polynomial upper estimates of the Hausdorff measure	2017	Alexander Logunov
+ PDF Chat	Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2024	Stefano Decio
+	Hausdorff measure bounds for nodal sets of Steklov eigenfunctions	2021	Stefano Decio
+	Measure upper bounds of nodal sets of solutions to Dirichlet problem of Schrödinger equations	2023	Hairong Liu Long Tian Xiaoping Yang
+	Nodal Sets of Steklov Eigenfunctions	2014	Katarína Bellová Fanghua Lin
+	Nodal sets of Laplace eigenfunctions: estimates of the Hausdorff measure in dimension two and three	2016	Alexander Logunov Eugenia Malinnikova
+ PDF Chat	Lower Bounds for Nodal Sets of Dirichlet and Neumann Eigenfunctions	2012	Sinan Ariturk
+	Nodal Sets of Laplace Eigenfunctions: Estimates of the Hausdorff Measure in Dimensions Two and Three	2018	Alexander Logunov Eugenia Malinnikova
+	Eigenvalue Asymptotics of Narrow Domains	2017	Lanbo Fang
+	Eigenvalue Estimates for $p$-Laplace Problems on Domains Expressed in Fermi Coordinates	2021	Barbara Brandolini Francesco Chiacchio Jeffrey J. Langford
+	A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere	2018	Rafael D. Benguria Barbara Brandolini Francesco Chiacchio
+	A sharp estimate for Neumann eigenvalues of the Laplace-Beltrami operator for domains in a hemisphere	2018	Rafael D. Benguria Barbara Brandolini Francesco Chiacchio
+	On the number of Courant-sharp Dirichlet eigenvalues	2016	M. van den Berg Katie Gittins
+ PDF Chat	Nodal sets and continuity of eigenfunctions of Kre\u{\i}-Feller operators	2024	Ngai Sze-Man Zhang Meng-Ke Zhao Wen-Quan

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF Chat	Unique continuation on the boundary for Dini domains	1998	Igor Kukavica Kaj Nyström
+	C1,? domains and unique continuation at the boundary	1997	Vilhelm Adolfsson Luis Escauriaza
+	Nodal sets of eigenfunctions on Reimannian manifolds	1988	Harold Donnelly Charles Fefferman
+	Nodal volumes for eigenfunctions of analytic regular elliptic problems	1995	Igor Kukavica
+	Nodal sets of solutions of elliptic and parabolic equations	1991	Fang‐Hua Lin
+ PDF Chat	Nodal Sets of Harmonic Functions	2007	Qing Han
+	Logarithmic Convexity for Supremum Norms of Harmonic Functions	1994	J. Korevaar J.L.H. Meyers
+ PDF Chat	Convex domains and unique continuation at the boundary	1995	Vilhelm Adolfsson Luis Escauriaza Carlos E. Kenig