Positivity of two-dimensional elliptic differential operators in Hölder spaces
In: AIP Conference Proceedings, 2012
Online
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Zugriff:
This paper considers the operator Au(t,x) = −a11(t,x)utt(t,x)−a22(t,x)uxx(t,x)+σu(t,x), defined over the region R+×R with the boundary condition u(0,x) = 0,x∈R. Here, the coefficients aii(t,x), i = 1,2 are continuously differentiable and satisfy the uniform ellipticity condition a112(t,x)+a222(t,x)≥δ>0, and σ > 0. It investigates the structure of the fractional spaces generated by this operator. Moreover, the positivity of the operator in Holder spaces is proved.
Titel: |
Positivity of two-dimensional elliptic differential operators in Hölder spaces
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Autor/in / Beteiligte Person: | Ashyralyev, Allaberen ; Sozen, Yasar ; Akturk, Sema |
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Zeitschrift: | AIP Conference Proceedings, 2012 |
Veröffentlichung: | AIP, 2012 |
Medientyp: | unknown |
ISSN: | 0094-243X (print) |
DOI: | 10.1063/1.4747643 |
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