Bulk Behaviour of Ground States for Relativistic Schrödinger Operators with Compactly Supported Potentials

Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications

(2023) Giacomo Ascione et al.   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Carleman type inequalities for fractional relativistic operators

(2022) Luz Roncal et al.   Revista Matematica Complutense

Potentials for non-local Schrödinger operators with zero eigenvalues

(2022) Giacomo Ascione et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Typical long time behaviour of ground state-transformed jump processes

(2019) Kamil Kaleta et al.   COMMUNICATIONS IN CONTEMPORARY MATHEMATICS

Universal constraints on the location of extrema of eigenfunctions of non-local Schrödinger operators

(2019) Anup Biswas et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Multifractal properties of sample paths of ground state-transformed jump processes

(2019) József Lőrinczi et al.   CHAOS SOLITONS & FRACTALS

Uniform Level Set Estimates for Ground State Eigenfunctions

(2018) Thomas Beck   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Embedded eigenvalues and Neumann–Wigner potentials for relativistic Schrödinger operators

(2017) József Lőrinczi et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Kato's Inequality for Magnetic Relativistic Schrödinger Operators

(2017) Fumio Hiroshima et al.   PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

On the Hölder regularity for the fractional Schrödinger equation and its improvement for radial data

(2016) Marius Lemm   COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS

Low energy spectral and scattering theory for relativistic Schroedinger operators

(2016) Serge RICHARD et al.   Hokkaido Mathematical Journal

On Some Nonlinear Fractional Equations Involving the Bessel Operator

(2016) Simone Secchi   Journal of Dynamics and Differential Equations

Fall-Off of Eigenfunctions for Non-Local Schrödinger Operators with Decaying Potentials

(2016) Kamil Kaleta et al.   POTENTIAL ANALYSIS

Pointwise eigenfunction estimates and intrinsic ultracontractivity-type properties of Feynman–Kac semigroups for a class of Lévy processes

(2015) Kamil Kaleta et al.   ANNALS OF PROBABILITY

Unique continuation properties for relativistic Schrödinger operators with a singular potential

(2015) Mouhamed Moustapha Fall et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Barriers, exit time and survival probability for unimodal Lévy processes

(2014) Krzysztof Bogdan et al.   PROBABILITY THEORY AND RELATED FIELDS

Suprema of Lévy processes

(2013) Mateusz Kwaśnicki et al.   ANNALS OF PROBABILITY

Probabilistic Representation and Fall-Off of Bound States of Relativistic Schrödinger Operators with Spin 1/2

(2013) Fumio Hiroshima et al.   PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

ONE-DIMENSIONAL QUASI-RELATIVISTIC PARTICLE IN THE BOX

(2013) KAMIL KALETA et al.   REVIEWS IN MATHEMATICAL PHYSICS

Sharp heat kernel estimates for relativistic stable processes in open sets

(2012) Zhen-Qing Chen et al.   ANNALS OF PROBABILITY

Spectral properties of the massless relativistic harmonic oscillator

(2012) József Lőrinczi et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Fractional P(ϕ)1-processes and Gibbs measures

(2012) Kamil Kaleta et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Hitchhikerʼs guide to the fractional Sobolev spaces

(2011) Eleonora Di Nezza et al.   BULLETIN DES SCIENCES MATHEMATIQUES

A quantitative isoperimetric inequality for fractional perimeters

(2011) Nicola Fusco et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Existence of ground states for nonlinear, pseudorelativistic Schrödinger equations

(2011) Vittorio Coti Zelati et al.   Rendiconti Lincei-Matematica e Applicazioni

Heat kernel estimates for the Dirichlet fractional Laplacian

(2010) Zhen-Qing Chen et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Bessel processes and hyperbolic Brownian motions stopped at different random times

(2010) Mirko D’Ovidio et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS

Bessel potentials, hitting distributions and Green functions

(2009) T. Byczkowski et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Boundary Harnack principle for subordinate Brownian motions

(2008) Panki Kim et al.   STOCHASTIC PROCESSES AND THEIR APPLICATIONS