The initial heat distribution problem associated with the Ornstein-Uhlenbeck and Hermite equations

DOI10.1007/s40879-023-00619-yOpenAlexW4363650293MaRDI QIDQ2699564

Guillermo J. Flores

Publication date: 19 April 2023

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

Full work available at URL: https://doi.org/10.1007/s40879-023-00619-y

zbMATH Keywords

Hermite operatorOrnstein-Uhlenbeck semigroupinitial heat distributionWidder's theorems

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05)

Cites Work

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• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Mean value formulas for Ornstein-Uhlenbeck and Hermite temperatures
• A note on the almost everywhere convergence to initial data for some evolution equations
• Pointwise convergence to initial data of heat and Laplace equations
• Positive Temperatures with Prescribed Initial Heat Distributions
• Widder’s Inversion Theorem and the Initial Distribution Problems
• A note on the convergence to initial data of heat and Poisson equations
• On the boundary convergence of solutions to the Hermite–Schrödinger equation
• HERMITE FUNCTION EXPANSIONS VERSUS HERMITE POLYNOMIAL EXPANSIONS
• On Positive Solutions of the Heat Equation
• Positive Temperatures on a Semi-Infinite Rod

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