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19952026
most citedBSDE with quadratic growth and unbounded terminal value

241 citations

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math.AP2026

The Schrödinger-Klein-Gordon System Revisited

Christophe Cheverry, Zied Ammari

We introduce a microlocal formulation of the Schr{ö}dinger-Klein-Gordon system describing the interaction between a non-relativistic quantum particle and a Klein-Gordon field throu…

math.AP2026

Entropic Propagation and Generation of Chaos for McKean-Vlasov Diffusions with Polynomial Growth

Matteo Miannay

We study time-uniform propagation and generation of chaos for a class of McKean-Vlasov equations with polynomial growth potentials. Using an entropy dissipation method based on tim…

math.AP2026

The Fast Limit Model Associated With The Euler-Maxwell-Two-Fluid System

Nicolas Besse, Christophe Cheverry

The filtering method applied at the level of the Euler-Maxwell-Two-Fluid system produces a Fast Limit Model (FLM) which captures up to the electron depth essential features of plas…

math.AP2026

Norm inflation and loss of regularity in negative Sobolev spaces for KdV and KP

Rémi Carles

We prove norm inflation phenomena for KdV and KP equations in negative order Sobolev spaces, in the periodic case, as well as on the whole space, on an arbitrarily large scale of n…

math.AP2026

Approximate controllability in small times of bilinear Schr{ö}dinger equations with magnetic drift

Eugenio Pozzoli

We study the small-time approximate controllability of bilinear Schr{ö}dinger equations, where the drift is a magnetic Schr{ö}dinger operator and the control is an electric potenti…

math.AP2026

Dependence of the nonlinear Schr{ö}dinger flow upon the nonlinearity

Rémi Carles, Quentin Chauleur, Guillaume Ferriere

We consider the defocusing nonlinear Schr{ö}dinger equation in the energy-subcritical case, and investigate the dependence of the solution upon the power of the nonlinearity. Speci…