Nicolas Frantz

activity

20222026

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math-ph2025

Localization of the eigenfunctions of a Bloch-Torrey operator on the half-plane

Martin Averseng, Nicolas Frantz, Frédéric Hérau +1

We consider a non-self adjoint operator of the form $- h^{2} Δ + i (V (x) + α (x) y)$ on the upper half plane $y > 0$ with Dirichlet boundary conditions on ${y = 0}$ with $V \geq 0$ , $V$ …

math-ph2025

Semiclassical tunneling for some 1D Schrödinger operators with complex-valued potentials

Martin Averseng, Nicolas Frantz, Frédéric Hérau +1

We consider the non-selfadjoint, semiclassical Schrödinger operator $L (h) := - h^{2} \partial_{x}^{2} + e^{i α} V$ , where $α \in (- π, π)$ and $V : R \to R_{+}$ is even an…

math.AP2025

Long-time evolution of forced waves in the low viscosity regime

Nicolas Frantz, Michał Wrochna

We consider a model for internal waves described by a zero order pseudo-differential Hamiltonian $P$ damped by a second order viscosity term $i ν Q$ . Under Morse-Smale or similar we…