On the null-spaces of elliptic partial differential operators in $R^{n}$
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- by Homer F. Walker PDF
- Trans. Amer. Math. Soc. 173 (1972), 263-275 Request permission
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
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- Homer F. Walker, On the null-spaces of first-order elliptic partial differential operators in $R{\bf ^{n}}$, Proc. Amer. Math. Soc. 30 (1971), 278–286. MR 280864, DOI 10.1090/S0002-9939-1971-0280864-7
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 173 (1972), 263-275
- MSC: Primary 47F05; Secondary 35J99
- DOI: https://doi.org/10.1090/S0002-9947-1972-0308860-7
- MathSciNet review: 0308860