Open AccessBoundary-value problems in a layer for evolutionary pseudo-differential equations with integral conditions
Author(s) -
А. А. Макаров,
D. Levkin
Publication year - 2018
Publication title -
vìsnik harkìvsʹkogo nacìonalʹnogo unìversitetu ìmenì v.n. karazìna. serìâ: matematika, prikladna matematika ì mehanìka
Language(s) - English
Resource type - Journals
eISSN - 2523-4641
pISSN - 2221-5646
DOI - 10.26565/2221-5646-2018-87-05
Subject(s) - mathematics , boundary value problem , mathematical analysis , differential equation , free boundary problem , value (mathematics) , initial value problem , cauchy boundary condition , integral equation , statistics
Boundary-value problems for evolutionary pseudo-differential equations with an integral condition are studied. Necessary and sufficient conditions of well-posedness are obtained for these problems in the Schwartz spaces. Existence of a well-posed boundary-value problem is proved for each evolutionary pseudo-differential equation.