On an integral inequality and its application to the proof of the entropy inequality

DOI10.1134/S0001434608070225zbMath1219.26015OpenAlexW2069668306MaRDI QIDQ635607

Juan-Miguel Gracia

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434608070225

zbMATH Keywords

entropy inequalitySchrödinger equationintegral inequalityEuler gamma functionEuler beta functionHölder-Young inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Other special methods applied to PDEs (35A25)

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Cites Work

• Proprietà di alcune classi di funzioni in più variabili
• An estimate for the best constant in a Sobolev inequality involving three integral norms
• A Note on Entropy
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