Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequality

DOI10.1215/S0012-7094-78-04518-0zbMath0435.47049OpenAlexW1567236254MaRDI QIDQ1140293

Oscar S. Rothaus

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-78-04518-0

zbMATH Keywords

logarithmic Sobolev inequalitySturm-Liouville operatorslower bounds for eigenvalues

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Inequalities for sums, series and integrals (26D15) Systems of functional equations and inequalities (39B72) Ordinary differential operators (34L99)

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