Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems

Simple item page
dc.creatorDolbeault, Jean
dc.creatorFelmer, Patricio
dc.creatorLoss, Michael
dc.creatorPaturel, Eric
dc.date2005-06-20
dc.date.accessioned2026-07-07T04:32:10Z
dc.date.available2026-07-07T04:32:10Z
dc.descriptionWe prove a Lieb-Thirring type inequality for potentials such that the associated Schrödinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. This inequality is equivalent to a generalized Gagliardo-Nirenberg inequality for systems. As a special case, we prove a logarithmic Sobolev inequality for infinite systems of mixed states. Optimal constants are determined and free energy estimates in connection with mixed states representations are also investigated.
dc.identifierhttps://arxiv.org/abs/math-ph/0506052
dc.identifierhttp://arxiv.org/abs/math-ph/0506052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58094
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectFunctional Analysis
dc.subjectAMS Primary: 26D15, 52A40, 35P20; Secondary: 35J10, 47A75, 49R50, 81Q10
dc.titleLieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems
dc.typetext

Files

Collections

arXiv