Time Nonlocal Boundary Value Problem for a Linearized Phase Field Equations System
Authors
Natalia Dmitrievna Ivanova
South Ural State University
Vladimir Evgenievich Fedorov
South Ural State University
Keywords:
nonlocal problem, boundary value problem, system of phase field equations, classical solution, generalized solution
Abstract
A boundary value problem with nonlocal time conditions is analyzed for a linearized quasi-steady system of phase field equations. Necessary and sufficient conditions are obtained for the existence and uniqueness of classical and generalized solutions.
Author Biographies
Natalia Dmitrievna Ivanova, South Ural State University
Post-graduate Student, Mathematical and Functional Analysis Department
Vladimir Evgenievich Fedorov, South Ural State University
Dr. Sc. (Physics and Mathematics), Professor, Mathematical and Functional Analysis Department
