most citedOn the spectrum of non-selfadjoint Schrödinger operators with compact resolvent

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2 papers

math-ph2014★ 1 cited

On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent

Yaniv Almog, Bernard Helffer

We determine the Schatten class for the compact resolvent of Dirichlet realizations, in unbounded domains, of a class of non-selfadjoint differential operators. This class consists…

math-ph2014

Existence and stability of superconducting solutions for the Ginzburg-Landau equations in the presence of weak electric currents

Yaniv Almog, Leonid Berlyand, Dmitry Golovaty +1

For a reduced Ginzburg-Landau model in which the magnetic field is neglected, we prove, for weak electric currents, the existence of a steady-state solution in a vicinity of the pu…