Uniform resolvent estimates and absence of eigenvalues of biharmonic operators with complex potentials

Autor: Cossetti, Lucrezia, Fanelli, Luca, Krejcirik, David
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We quantify the subcriticality of the bilaplacian in dimensions greater than four by providing explicit repulsivity/smallness conditions on complex additive perturbations under which the spectrum remains stable. Our assumptions cover critical Rellich-type potentials too. As a byproduct we obtain uniform resolvent estimates in weighted spaces. Some of the results are new also in the self-adjoint setting.
Databáze: arXiv