1970
DOI: 10.1017/s1446788700006327
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The iterated equation of generalized axially symmetric potential theory. V. Generalized weinstein correspondence principle

Abstract: Solutions of the iterated equation of generalized axially symmetric potential theory [1]where the operator Lk is defined bywill be denoted by except that when n = 1, fk will be written instead of . It is easily shown [2, 3] thatby which is meant that any function is a solution of (1).

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Cited by 7 publications
(2 citation statements)
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“…Weinstein's principle has had a number of interesting physical applications, notably to the theory of shafts of revolution under torsion. Iterated versions of the principle have been used by Burns [11] to systematize the study of problems involving Stokes' flow of a viscous fluid past such bodies as a spindle, lens or torus and in [6] to solve boundary value problems involving rigid inclusions in incompressible elastic materials. Consider the Baecklund-type transformations of the type (3.4) with the specializations (see or, in the notation of Weinstein [12],…”
Section: Iterated Baeeklund Transformationsmentioning
confidence: 99%
“…Weinstein's principle has had a number of interesting physical applications, notably to the theory of shafts of revolution under torsion. Iterated versions of the principle have been used by Burns [11] to systematize the study of problems involving Stokes' flow of a viscous fluid past such bodies as a spindle, lens or torus and in [6] to solve boundary value problems involving rigid inclusions in incompressible elastic materials. Consider the Baecklund-type transformations of the type (3.4) with the specializations (see or, in the notation of Weinstein [12],…”
Section: Iterated Baeeklund Transformationsmentioning
confidence: 99%
“…. , x p ) , has been studied extensively by J. C. Burns [17], [18] for the purpose of extending and generalizing a number of concepts and principles introduced by A.…”
mentioning
confidence: 99%