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math.AP2025
Dispersive estimates for Schrödinger's and wave equations on Riemannian manifolds
Marius Beceanu
This paper proves decay estimates for Schrödinger's and wave equations with scalar potentials on three-dimensional Riemannian manifolds. The main result regards small perturb…
math.AP2024
Decay estimates for Schrödinger's equation with magnetic potentials in three dimensions
Marius Beceanu, Hyun-Kyoung Kwon
In this paper we prove that Schrödinger's equation with a Hamiltonian of the form , which includes a magnetic potential , has the same dispersiv…
math.AP2024
Local Exact Controllability to Stationary Solutions of a Semilinear Parabolic Equation
Marius Beceanu
This paper establishes the local exact controllability of the quasilinear porous media equation with Dirichlet boundary condition.\\ Consider the equation $$\begin{aligned} &y_t -…