- Path:
-
Cover
Periodical
- Title:
- Journal of applied analysis
- Publication:
-
Berlin New York, NY: de Gruyter
- Note:
- Gesehen am 01.02.24
- C!URL mit z LF gelöscht(01-02-24)
- Scope:
- Online-Ressource
- ISSN:
- 1869-6082
- ZDB-ID:
-
2109549-8
- VÖBB-Katalog:
- 15217322
- Keywords:
- Zeitschrift
- Classification:
- Naturwissenschaften
- Collection:
- Naturwissenschaften
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
Article
- Title:
- On the stochastic elliptic equations involving fractional derivative
- Publication:
-
Berlin New York, NY: de Gruyter, 2024
- Language:
- English
- Information:
- Abstract: This study is focused on finding the solution to the initial value problem for the fractional elliptic equations driven by the Wiener process. First, with some strong conditions on the input data, we establish the regularity of the solution. With relaxed conditions of the input data function, our forward problem is ill-posed in the sense of Hadamard. For this ill-posed problem, the truncation method is used to construct a regularized solution. Under prior assumptions for the exact solution, the convergence rate is obtained.
- Scope:
- Online-Ressource
- Note:
- Kein Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- Stochastic ; elliptic ; regularity ; regularized solution ; ill-posed ; 35J05 ; 35R60 ; 35R25
- Classification:
- Naturwissenschaften
- Sonstiges
- Collection:
- Naturwissenschaften
- Sonstiges
- Copyright:
- Rights reserved
- Accessibility:
- Eingeschränkter Zugang mit Nutzungsbeschränkungen
