Differential equations on abstract Wiener space

DOI10.2140/pjm.1972.43.465zbMath0245.35015OpenAlexW2047978763MaRDI QIDQ2555214

M. Ann. Piech

Publication date: 1972

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pjm/1102959516

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General theory of functional-differential equations (34K05) Linear higher-order PDEs (35G05)

Related Items (3)

Parabolic Equations Associated with the Number Operator ⋮ Harnack inequalities in infinite dimensions ⋮ The Ornstein-Uhlenbeck semigroup in an infinite dimensional L\(^2\) setting

Cites Work

• Potential theory on Hilbert space
• A fundamental solution of the parabolic equation on Hilbert space
• Distributions in Hilbert Space and Canonical Systems of Operators
• Diffusion Semigroups on Abstract Wiener Space

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