2 papers
math.AP2023
Well-posedness for a molecular beam epitaxy model
Louis Emerald, Daniel Oliveira da Silva, Achenef Tesfahun
We study a general molecular beam epitaxy (MBE) equation modeling the epitaxial growth of thin films. We show that, in the deterministic case, the associated Cauchy problem admits…
math.AP2019
Global Analytic Solutions for the Nonlinear Schrödinger Equation
Daniel Oliveira da Silva, Magzhan Biyar
We prove the existence of global analytic solutions to the nonlinear Schrödinger equation in one dimension for a certain type of analytic initial data in .