Remarks on the Gross-Sobolev, Hirschman, and Pauli-Heisenberg-Weyl fundamental inequalities and the entropy inequality

DOI10.1134/S1064562407040278zbMath1158.26011OpenAlexW2021685076MaRDI QIDQ2377530

Yanyan Li

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407040278

zbMATH Keywords

inequalitiesEntropyHirschman inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (4)

Nonlinear evolutionary Schrödinger equation in the supercritical case ⋮ Collapse rate of solutions of the Cauchy problem for the nonlinear Schrödinger equation ⋮ Blow-up of solutions of the Cauchy problem for a nonlinear Schrödinger evolution equation ⋮ On the collapse of solutions of the Cauchy problem for the cubic Schrödinger evolution equation

Cites Work

• Superadditivity of Fisher's information and logarithmic Sobolev inequalities
• Inequalities in Fourier analysis
• Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions.
• A Note on Entropy
• Geometric asymptotics and the logarithmic Sobolev inequality
• On Sharp Sobolev Embedding and The Logarithmic Sobolev Inequality
• Sobolev inequalities in disguise
• The geometry of Markov diffusion generators

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