Vol. 43, No. 2, 1972

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Differential equations on abstract Wiener space

M. Ann Piech

Vol. 43 (1972), No. 2, 465–473

The main purpose of this paper is to indicate a simple method by means of which the work of L. Gross concerning the Laplacian on an abstract Wiener space may be extended to a certain class of pure second order elliptic operators with constant coefficients. A short proof of uniqueness of the solution semigroup of the heat equation will also be given.

Mathematical Subject Classification 2000
Primary: 35R15
Secondary: 60J35, 47D05
Received: 16 August 1971
Published: 1 November 1972
M. Ann Piech