Open Access
2002 Application of the $Q$-method to equations related to fractals
S. N. Dachkovski
Funct. Approx. Comment. Math. 30: 37-47 (2002). DOI: 10.7169/facm/1538186660

Abstract

We consider the question of the regularity of solutions of one model equation related to a fractal set in the scale of Besov spaces. The theorem of existence of solution with the optimal regularity is proved.

Citation

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S. N. Dachkovski. "Application of the $Q$-method to equations related to fractals." Funct. Approx. Comment. Math. 30 37 - 47, 2002. https://doi.org/10.7169/facm/1538186660

Information

Published: 2002
First available in Project Euclid: 29 September 2018

zbMATH: 1071.35506
MathSciNet: MR2136510
Digital Object Identifier: 10.7169/facm/1538186660

Subjects:
Primary: 31C20 , 46E35
Secondary: 28A80

Keywords: Besov spaces , Fractals , regularity of solutions , semi-linear equations

Rights: Copyright © 2002 Adam Mickiewicz University

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