Positivity of two-dimensional elliptic differential operators in Ho¨lder spaces.
In: AIP Conference Proceedings, Jg. 1470 (2012-08-10), Heft 1, S. 77-79
Konferenz
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 Ho¨lder spaces is proved. [ABSTRACT FROM AUTHOR]
Titel: |
Positivity of two-dimensional elliptic differential operators in Ho¨lder spaces.
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Autor/in / Beteiligte Person: | Ashyralyev, Allaberen ; Akturk, Sema ; Sozen, Yasar |
Zeitschrift: | AIP Conference Proceedings, Jg. 1470 (2012-08-10), Heft 1, S. 77-79 |
Quelle: | 8/10/2012, Vol. 1470 Issue 1, p77-79. 3p.; Jg. 1470 (2012-08-10) 1, S. 77-79 |
Veröffentlichung: | 2012 |
Medientyp: | Konferenz |
ISSN: | 0094-243X (print) |
DOI: | 10.1063/1.4747643 |
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