Regular Oblique Derivative Problem in Morrey Spaces
Date
2000-05-23
Authors
Palagachev, Dian K.
Ragusa, Maria Alessandra
Softova, Lubomira G.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This article presents a study of the regular oblique derivative problem
∑ni,j=1 (x) ∂2u/ ∂xi∂xj = f(x)
∂u/ ∂ℓ(x) + σ(x)u = φ(x).
Assuming that the coefficients aij belong to the Sarason's class of functions with vanishing mean oscillation, we show existence and global regularity of strong solutions in Morrey spaces.
Description
Keywords
Uniformly elliptic operator, Regular oblique derivative problem, Morrey spaces
Citation
Palagachev, D. K., Ragusa, M. A., & Softova, L. G. (2000). Regular oblique derivative problem in Morrey spaces. <i>Electronic Journal of Differential Equations, 2000</i>(39), pp. 1-17.
Rights
Attribution 4.0 International