An infinite-dimensional Laplacian operator

DOI10.1016/0022-0396(80)90077-7zbMath0407.46032OpenAlexW1989480757MaRDI QIDQ1258070

John F. Schmeelk

Publication date: 1980

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(80)90077-7

zbMATH Keywords

HessianInitial Value ProblemFrechet DerivativeFunctional DerivativeGradientInfinite Dimensional Laplacian OperatorNon-Normed Pseudo-Topological Linear Vector SpacesOrthonormal BaseTempered Distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) General theory of partial differential operators (47F05) Derivatives of functions in infinite-dimensional spaces (46G05) Distributions on infinite-dimensional spaces (46F25)

Related Items (5)

Infinite dimensional parametric distributions ⋮ Multiplication and mixed differentiation in generalized Fock spaces ⋮ Infinite dimensional fock spaces and schrödinger equation solutions ⋮ Application of test surfunctions ⋮ Infinite dimensional Fock spaces and associated creation and annihilation operators

Cites Work

• Existence and uniqueness of solutions of hyperbolic equations which are not necessarily strictly hyperbolic
• Pseudo-Fokker Planck equations and hyperdifferential operators
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