An Integral Formula for Multidimensional Evolution Equations

DOI10.2307/2044840zbMath0521.47024OpenAlexW4249354578MaRDI QIDQ3671739

E. C. Svendsen

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2044840

zbMATH Keywords

one-parameter semigroupconstruct solutions of some wave and diffusion equations from solutions of related lower-dimensional equationssums of contractions of operator-valued tensors

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of partial differential operators (47F05) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Generalization of the Trotter-Lie formula
• Note on product formulas for operator semigroups
• On the Product of Semi-Groups of Operators
• COSINE FUNCTIONS AND THE FEYNMAN-KAC FORMULA
• A Random Trotter Product Formula

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