TY - JOUR
T1 - The Neumann condition for the superposition of fractional Laplacians
AU - Dipierro, Serena
AU - Lippi, Edoardo Proietti
AU - Sportelli, Caterina
AU - Valdinoci, Enrico
PY - 2025
Y1 - 2025
N2 - We present a new functional setting for Neumann conditions related to the superposition of (possibly infinitely many) fractional Laplace operators. We will introduce some bespoke functional framework and present minimization properties, existence and uniqueness results, asymptotic formulas, spectral analyses, rigidity results, integration by parts formulas, superpositions of fractional perimeters, as well as a study of the associated heat equation.
AB - We present a new functional setting for Neumann conditions related to the superposition of (possibly infinitely many) fractional Laplace operators. We will introduce some bespoke functional framework and present minimization properties, existence and uniqueness results, asymptotic formulas, spectral analyses, rigidity results, integration by parts formulas, superpositions of fractional perimeters, as well as a study of the associated heat equation.
KW - Neumann boundary conditions
KW - fractional Laplacian
KW - Regularity results
KW - Superposition of operators
UR - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=uwapure5-25&SrcAuth=WosAPI&KeyUT=WOS:001450427600004&DestLinkType=FullRecord&DestApp=WOS_CPL
U2 - 10.1051/cocv/2025015
DO - 10.1051/cocv/2025015
M3 - Article
SN - 1262-3377
VL - 31
SP - 1
EP - 45
JO - ESAIM - Control, Optimisation and Calculus of Variations
JF - ESAIM - Control, Optimisation and Calculus of Variations
IS - ESAIM: COCV
M1 - 25
ER -