Kogut PI, Kupenko OP, Leugering G, Wang Y (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 27
Pages Range: 1-22
Journal Issue: 2
DOI: 10.15421/141905
In this paper we discuss some issues related to Poincaré’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion coefficients that are not uniformly elliptic. We give a classification of these spaces in the 1-D case bases on a measure of degeneracy of the corresponding weight coefficient and study their key properties.
APA:
Kogut, P.I., Kupenko, O.P., Leugering, G., & Wang, Y. (2019). A NOTE on WEIGHTED SOBOLEV SPACES RELATED to WEAKLY and STRONGLY DEGENERATE DIFFERENTIAL OPERATORS. Journal of Optimization, Differential Equations and Their Applications, 27(2), 1-22. https://doi.org/10.15421/141905
MLA:
Kogut, Peter I., et al. "A NOTE on WEIGHTED SOBOLEV SPACES RELATED to WEAKLY and STRONGLY DEGENERATE DIFFERENTIAL OPERATORS." Journal of Optimization, Differential Equations and Their Applications 27.2 (2019): 1-22.
BibTeX: Download