Unique continuation of solutions of differential equations with weighted derivatives

The paper contains a generalization of Calderón's theorem on the local uniqueness of the solutions of the Cauchy problem for differential equations with weighted derivatives. Anisotropic estimates of Carleman type are obtained. A class of differential equations with weighted derivatives is distinguished in which germs of solutions have unique continuation with respect to part of the variables.

Авторы
Журнал
Издательство
Russian Academy of Sciences
Номер выпуска
3-4
Язык
Английский
Страницы
431-458
Статус
Опубликовано
Том
191
Год
2000
Организации
  • 1 Peoples' Friendship Univ. of Russia, Moscow, Russian Federation
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/460/