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Regularity estimates for the Cauchy problem to a parabolic equation associated to fractional harmonic oscillators.
- Source :
-
Journal of Differential Equations . Apr2021, Vol. 279, p162-197. 36p. - Publication Year :
- 2021
-
Abstract
- Let H = − Δ + | x | 2 be the harmonic oscillator on R n. In this paper, we prove estimates on Besov spaces associated to the operator H and the end-point maximal regularity estimates for the fractional harmonic oscillator H α , 0 < α ≤ 1 , on the Besov spaces associated to the harmonic oscillator H. These spaces are the appropriate function spaces for the study of estimates on Besov type spaces and the end-point maximal regularity estimates for the fractional power H α in the sense that similar estimates might fail with the classical Besov spaces. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 279
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 148596766
- Full Text :
- https://doi.org/10.1016/j.jde.2021.01.013