Abstract
In an earlier paper a generalization of Rellich’s theorem on the Helmholz equation was obtained for a large class of higher order equationsP(1/i∂/∂x)u=f, subject to the condition that the Gaussian curvature ofP(ξ)=0 never vanish. This restriction is removed in this note.
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References
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Littman, W. Decay at infinity of solutions to higher order partial differential equations: Removal of the curvature assumption. Israel J. Math. 8, 403–407 (1970). https://doi.org/10.1007/BF02798687
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DOI: https://doi.org/10.1007/BF02798687