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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 -…
math-ph2024
Pluriharmonic solutions to Yang-Mills equations: a -algebras approach
Marius Beceanu, Sachin Munshi, Rongwei Yang
This partially expository paper provides a view of Yang-Mills equations from the perspective of complex variables, operator theory, and -algebras. Through operator-valued pl…