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19972022
most citedOn the metric operator for the imaginary cubic oscillator

121 citations

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6 papers · 1 filter

math.AP2019

On Bernstein processes of maximal entropy

Pierre-A Vuillermot

In this article we define and investigate statistical operators and an entropy functional for Bernstein stochastic processes associated with hierarchies of forward-backward systems…

math.AP2017★ 2 cited

Anti-symmetry of the second eigenfunction of the fractional Laplace operator in a 3-D ball

Rui A. C. Ferreira

In this work we extend a recent result by Dyda et. al. [B. Dyda, A. Kuznetsov, M. Kwasnicki, Eigenvalues of the fractional Laplace equation in the unit ball, J. Lond. Math. Soc. (2…

math.AP2017★ 25 cited

On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators

Francesco Della Pietra, Nunzia Gavitone, Gianpaolo Piscitelli

Let be a bounded open set of , . In this paper we mainly study some properties of the second Dirichlet eigenvalue of the anisotropic -Lap…

math.AP2013★ 8 cited

Bernstein diffusions for a class of linear parabolic partial differential equations

Pierre-A. Vuillermot, Jean-C. Zambrini

In this article we prove the existence of Bernstein processes which we associate in a natural way with a class of linear parabolic initial-and final boundary value problems defined…

math.AP2012★ 2 cited

On the spectrum of deformations of compact double-sided flat hypersurfaces

Denis Borisov, Pedro Freitas

We study the asymptotic behaviour of the eigenvalues of the Laplace-Beltrami operator on a compact hypersurface in \mathds{R}^{n+1} as it is flattened into a singular double-sided…

math.AP2011★ 10 cited

Semiclassical limit for generalized KdV equations before the gradient catastrophe

Davide Masoero, Andrea Raimondo

We study the semiclassical limit of the (generalised) KdV equation, for initial data with Sobolev regularity, before the time of the gradient catastrophe of the limit conservation…