Biyar, Magzhan2021-05-192021-05-192021-05Biyar, M. (2021). The Cauchy problem for a molecular beam epitaxy model with slope selection (Unpublished master`s thesis). Nazarbayev University, Nur-Sultan, Kazakhstanhttp://nur.nu.edu.kz/handle/123456789/5417This thesis is devoted to the study of a nonlinear diffusion equation. We have to prove that the Cauchy problems for a molecular beam epitaxy (MBE) equation with slope selection is locally well-posed for initial data in 𝑊...enAttribution-NonCommercial-ShareAlike 3.0 United StatesType of access: Open AccessCauchy problemmolecular beam epitaxy equationTHE CAUCHY PROBLEM FOR A MOLECULAR BEAM EPITAXY MODEL WITH SLOPE SELECTIONMaster's thesis