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19962026
most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

1k citations

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Showing 2017 · math.SPShow all

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math.SP2017★ 11 cited

Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition

Sergei A. Nazarov, Nicolas Popoff

We study the Laplacian in a smooth bounded domain, with a varying Robin boundary condition singular at one point. The associated quadratic form is not semi-bounded from below, and…

math.SP2017

Spectrum of the Iwatsuka Hamiltonian at thresholds

Pablo Miranda, Nicolas Popoff

We consider the bi-dimensional Schrödinger operator with unidirectionally constant magnetic field, , sometimes known as the "Iwatsuka Hamiltonian". This operator is analytical…

math.SP2017★ 2 cited

Propagation estimates in the one-commutator theory

Sylvain Golenia, Marc-Adrien Mandich

In the abstract framework of Mourre theory, the propagation of states is understood in terms of a conjugate operator . A powerful estimate has long been known for Hamiltonians h…