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6 papers · 2 filters
Singular-value decomposition of solution operators to model evolution equations
Alexandru Aleman, Joe Viola
We consider evolution equations generated by quadratic operators admitting a decomposition in creation-annihilation operators without usual ellipticity-type hypotheses; this class…
Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping
Zaher Hani, Laurent Thomann
We consider the cubic nonlinear Schrödinger equation with harmonic trapping on (). In the case when all but one directions are trapped (a.k.a "cigar-s…
Chambers's formula for the graphene and the Hou model with kagome periodicity and applications
Bernard Helffer, Philippe Kerdelhué, Jimena Royo-Letelier
The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the…
The Ginzburg-Landau functional with vanishing magnetic field
Bernard Helffer, Ayman Kachmar
We study the infimum of the Ginzburg-Landau functional in the case of a vanishing external magnetic field in a two dimensional simply connected domain. We obtain an energy asymptot…
Gaussian heat kernel bounds through elliptic Moser iteration
Frédéric Bernicot, Thierry Coulhon, Dorothee Frey
On a doubling metric measure space endowed with a "carré du champ", we consider estimates of the gradient of the heat semigroup and scale-invariant Poincaré ine…
On random Hermite series
Rafik Imekraz, Didier Robert, Laurent Thomann
We study integrability and continuity properties of random series of Hermite functions. We get optimal results which are analogues to classical results concerning Fourier series, l…