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The well-posedness for semilinear time fractional wave equations on $ \mathbb R^N $.
- Source :
- Electronic Research Archive; 2022, Vol. 30 Issue 8, p1-23, 23p
- Publication Year :
- 2022
-
Abstract
- This paper is concerned with the semilinear time fractional wave equations on the whole Euclidean space, also known as the super-diffusive equations. Considering the initial data in the fractional Sobolev spaces, we prove the local/global well-posedness results of -solutions for linear and semilinear problems. The methods of this paper rely upon the relevant wave operators estimates, Sobolev embedding and fixed point arguments. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 26881594
- Volume :
- 30
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Electronic Research Archive
- Publication Type :
- Academic Journal
- Accession number :
- 178380161
- Full Text :
- https://doi.org/10.3934/era.2022151