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A CHARACTERIZATION FOR ELLIPTIC PROBLEMS ON FRACTAL SETS.
- Source :
-
Proceedings of the American Mathematical Society . Jul2015, Vol. 143 Issue 7, p2959-2968. 10p. - Publication Year :
- 2015
-
Abstract
- In this paper we prove a characterization theorem on the existence of one non-zero strong solution for elliptic equations defined on the Sierpiński gasket. More generally, the validity of our result can be checked studying elliptic equations defined on self-similar fractal domains whose spectral dimension ν ∈ (0, 2). Our theorem can be viewed as an elliptic version on fractal domains of a recent contribution obtained in a recent work of Ricceri for a two-point boundary value problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 143
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 102164933
- Full Text :
- https://doi.org/10.1090/S0002-9939-2015-12475-6