Smoothness of generalized solutions of the third boundary-value problem for an elliptic differential-difference equation

Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domain $Q$, only preserving smoothness on certain subdomains $Q_r \subset Q$. The conditions are considered under which the generalized solutions of t...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:1993
Автори: Tsvetkov, E. L., Цветков, Е. Л.
Формат: Стаття
Мова:Російська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 1993
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/5911
Теги: Додати тег
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме:Unlike the case of elliptic differential equations, generalized solutions of elliptic differential-difference equations may be nonsmooth on an entire domain $Q$, only preserving smoothness on certain subdomains $Q_r \subset Q$. The conditions are considered under which the generalized solutions of the third boundary-value problem remain smooth on the boundaries of the neighboring subdomains $Q_r$.