A logarithmic Sobolev inequality on the real line

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Authors

J. Michael Pearson · Mississippi State University

Abstract

A new logarithmic Sobolev inequality for the real line is obtained. The inequality is obtained by applying a differentiation argument to a sharp Sobolev inequality due to Nagy, and is $L^p$ rather that $L^2$ in structure.

Topics & Keywords

Numerical methods in engineering Nonlinear Partial Differential Equations Fatigue and fracture mechanics

UN Sustainable Development Goals

Reduced inequalities

Publication Details

Published in: Proceedings of the American Mathematical Society

Volume 125, Issue 11, pp. 3339-3345

DOI: 10.1090/s0002-9939-97-03979-8

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