24 citations · 91 across the 19 of their papers we have counts for
20 papers
The inner radius of nodal domains in high dimensions
Philippe Charron, Dan Mangoubi
We prove that every nodal domain of an eigenfunction of the Laplacian of eigenvalue on a -dimensional closed Riemannian manifold contains a ball of radius $cλ^{-1/2}(\logλ)^…
A note on the semiclassical measure at singular points of the boundary of the Bunimovich stadium
Dan Mangoubi, Adi Weller Weiser
An argument by Hassell proving the existence of a Bunimovich stadium for which there are semiclassical measures giving positive mass to the submanifold of bouncing ball trajectorie…
Strong convexity for harmonic functions on compact symmetric spaces
Gabor Lippner, Dan Mangoubi, Zachary McGuirk +1
Let be a harmonic function defined on a spherical disk. It is shown that is nonnegative for all where is the Laplace-Beltrami operator. This f…
Local version of Courant's nodal domain theorem
S. Chanillo, A. Logunov, E. Malinnikova +1
Let be a closed Riemannian manifold, where g is -smooth metric. Consider the sequence of eigenfunctions of the Laplace operator on M. Let be a ball on .…
Bounded multiplicity for eigenvalues of a circular vibrating clamped plate
Yuri Lvovsky, Dan Mangoubi
We prove that no eigenvalue of the clamped disk can have multiplicity greater than six. Our method of proof is based on a new recursion formula, linear algebra arguments and a tran…
Harmonic functions vanishing on a cone
Dan Mangoubi, Adi Weller-Weiser
Let be a quadratic harmonic cone in . We consider the family of all harmonic functions vanishing on . Is finite or infinite…