Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the null-spaces of elliptic partial differential operators in $ R\sp{n}$


Author: Homer F. Walker
Journal: Trans. Amer. Math. Soc. 173 (1972), 263-275
MSC: Primary 47F05; Secondary 35J99
MathSciNet review: 0308860
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The objective of this paper is to generalize the results of Lax and Phillips [4] and Walker [6] to include elliptic partial differential operators of all orders whose coefficients approach constant values at infinity with a certain swiftness. An example is given of an elliptic operator having an infinite-dimensional null-space whose coefficients slowly approach constant limiting values.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 47F05, 35J99

Retrieve articles in all journals with MSC: 47F05, 35J99


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0308860-7
PII: S 0002-9947(1972)0308860-7
Keywords: Elliptic operators, semi-Fredholm operators, null-spaces of elliptic operators, perturbation of elliptic operators
Article copyright: © Copyright 1972 American Mathematical Society