2 papers
math.AP2021
Gradient Bounds and Coarsening Estimates for Some Molecular Beam Epitaxy Models
Daniel Oliveira da Silva, Magzhan Biyar
We prove global well-posedness for some molecular beam epitaxy models. This requires proving some bounds on the gradient of solutions. We also obtain some global bounds on the roug…
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 .