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math.AP2022★ 1 cited
Anderson Hamiltonian and associated Nonlinear Stochastic Wave and Schrödinger equations in the full space
Baris Evren Ugurcan
In this article, we study the Anderson Hamiltonian in the full space and prove wellposedness of nonlinear stochastic wave equation and NLS with polynomial nonlinearities.
math.AP2018
Semilinear evolution equations for the Anderson Hamiltonian in two and three dimensions
Massimiliano Gubinelli, Baris Evren Ugurcan, Immanuel Zachhuber
We analyze nonlinear Schrödinger and wave equations whose linear part is given by the renormalized Anderson Hamiltonian in two and three dimensional periodic domains.