arXiv subjects

Magzhan Biyar

Publications and source records attributed to Magzhan Biyar.

2 recordsLinked to original sources

arXiv2021

Gradient Bounds and Coarsening Estimates for Some Molecular Beam Epitaxy Models

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 roughness of solutions.

math.AP↗

arXiv2019

Global Analytic Solutions for the Nonlinear Schrödinger Equation

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 $L^2$.

math.AP↗