On a nonclassical fractional boundary-value problem for the Laplace operator

Autor:	Nataliya Vasylyeva, Mykola Krasnoschok
Rok vydání:	2014
Předmět:	Applied Mathematics Mathematical analysis Boundary value problem Poisson's equation Laplace operator Analysis Elliptic boundary value problem Fractional calculus Mathematics
Zdroj:	Journal of Differential Equations. 257:1814-1839
ISSN:	0022-0396
DOI:	10.1016/j.jde.2014.05.022
Popis:	In this paper we consider a boundary-value problem for the Poisson equation with a boundary condition comprising the fractional derivative in time and the right-hand sides dependent on time. We prove the one-valued solvability of this problem, and provide the coercive estimates of the solution.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9c051934b0e0de173cf701f13c502b21 https://doi.org/10.1016/j.jde.2014.05.022 Zobrazit plný text záznamu Full Text from ScienceDirect