Initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions

We consider an initial-boundary-value problem for a semilinear parabolic equation with nonlinear nonlocal boundary conditions. We prove comparison principle, establish the existence of a local solution, and study the problem of uniqueness and nonuniqueness.

Gespeichert in:
Bibliographische Detailangaben
Datum:2016
Hauptverfasser: Gladkov, A. L., Kavitova, T. V., Гладков, А. Л., Кавитова, T. В.
Format: Artikel
Sprache:Russisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/1831
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal