Abstract
In the present paper, the analyticity of solutions to a class of degenerate elliptic equations is obtained. A kind of weighted norms are introduced and under such norms some degenerate elliptic operators are of weak coerciveness.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Courant R, Hilbert D. Methods of Mathematical Physics. New York: Wiley, 1937, 350–351
Hong J X. BVPs for differential operators with characteristic degenerate surfaces. Chin Ann Math Ser B, 1984, 5: 277–292
Hong J X. Microanalysis on a class of multicharacteristic operators. Acta Math Sinica, 1985, 28: 23–34
Hong JX. L 2-hypoellipticity for a class of operators mixed type. Chin Ann of Math Ser B, 1988, 9: 184–188
Morrey C B, Nirenberg L. On the analyticity of the solution to linear elliptic system of partial differential equations. Comm Pure Appl Math, 1957, 10: 271–290
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Li, C. The analyticity of solutions to a class of degenerate elliptic equations. Sci. China Math. 53, 2061–2068 (2010). https://doi.org/10.1007/s11425-010-4040-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11425-010-4040-5