Solvability in the sense of sequences for some non Fredholm operators related to the superdiffusion

We study solvability of some linear nonhomogeneous elliptic equations and show that under reasonable technical conditions the convergence in L2(Rd) of their right sides yields the existence and the convergence in H1(Rd) of the solutions. The problems involve the square roots of the second order non Fredholm differential operators and we use the methods of spectral and scattering theory for Schrödinger type operators similarly to our preceding work (Volpert and Vougalter in Electron J Differ Equ 160:16, 2013). © 2017, Springer International Publishing.

Авторы
Vougalter V.1 , Volpert V. 2, 3
Редакторы
-
Издательство
Birkhauser Verlag AG
Номер выпуска
1
Язык
Английский
Страницы
25-46
Статус
Опубликовано
Подразделение
-
Номер
-
Том
9
Год
2018
Организации
  • 1 Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4, Canada
  • 2 Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 RUDN University, ul. Miklukho-Maklaya 6, Moscow, 117198, Russian Federation
Ключевые слова
Non Fredholm operators; Sobolev spaces; Solvability conditions
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/6803/