Open AccessMixed Problem for a Parabolic System on a Plane and Boundary Integral Equations
Author(s) -
E. A. Baderko,
М. Ф. Черепова
Publication year - 2018
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2018-64-1-20-36
Subject(s) - smoothness , mathematics , mathematical analysis , integral equation , domain (mathematical analysis) , boundary (topology) , plane (geometry) , parabolic partial differential equation , boundary value problem , free boundary problem , geometry , partial differential equation
We consider the mixed problem for a one-dimensional (with respect to the spatial variable) second-order parabolic system with Dini-continuous coecients in a domain with nonsmooth lateral boundaries. Using the method of boundary integral equations, we nd a classical solution of this problem. We investigate the smoothness of solution as well.