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20052025
most citedDegenerate parabolic stochastic partial differential equations: Quasilinear case

90 citations

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math.AP2025

Blow-up, decay, and convergence to equilibrium for focusing damped cubic Klein-Gordon and Duffing equations

Thomas Perrin

We study long-time dynamics of the damped focusing cubic Klein-Gordon equation on a compact three-dimensional Riemannian manifold, together with its space-independent reduction, th…

math.AP2025

Small-time approximate controllability of the logarithmic Schr\''dinger equation

Karine Beauchard, Rémi Carles, Eugenio Pozzoli

We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on or . We prove their small-time global -approxima…

math.AP2025

Small-time local control of a Schrödinger equation: a negative and a positive quadratic result

Karine Beauchard, Frédéric Marbach, Thomas Perrin

We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case wher…