688 citations
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Showing 2003Show all
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math-ph2003★ 1 cited
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
Christian Hainzl, Masao Hirokawa, Herbert Spohn
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…
math-ph2003
An analytical proof of Hardy-like inequalities related to the Dirac operator
J. Dolbeault, M. J. Esteban, M. Loss +1
We prove some sharp Hardy type inequalities related to the Dirac operator by elementary, direct methods. Some of these inequalities have been obtained previously using spectral inf…
math.AP2003
Mathematical analysis of a nonlinear parabolic equation arising in the modelling of non-newtonian flows
Eric Cancès, Isabelle Catto, Yousra Gati
The mathematical properties of a nonlinear parabolic equation arising in the modelling of non-newtonian flows are investigated. The peculiarity of this equation is that it may dege…