Élliott H. Lieb
- A relation between pointwise convergence of functions and convergence of functionals
1983/07/01 by Haïm Brézis, Elliott Lieb, Élliott H. Lieb · 86 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Nonlinear Differential Equations Analysis
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
1977/10/01 by Elliott H. Lieb, Élliott H. Lieb · 64 citations
Mathematics · #Nonlinear Partial Differential Equations #Navier-Stokes equation solutions #Geometric Analysis and Curvature Flows
- Exact Solution of a Many-Fermion System and Its Associated Boson Field
1965/02/01 by Daniel C. Mattis, Élliott H. Lieb · 1 voice · 11 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Topological Materials and Phenomena
- Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
2000/03/06 by Elliott H. Lieb, Élliott H. Lieb, Robert Seiringer +1 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions
- The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei
1972/12/01 by Elliott H Lieb, Élliott H. Lieb, Joel L. Lebowitz +1 · 1 voice · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Statistical Mechanics and Entropy #Theoretical and Computational Physics
- Entropy and entanglement bounds for reduced density matrices of\n fermionic states
2014/03/15 by Eric A. Carlen, Carlen, Eric A., Élliott H. Lieb +3 · 2 citations
Computer Science · Physics and Astronomy · #81V99 #82B10 #94A17 #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems
- The Thermodynamic Limit for Matter Interacting with Coulomb Forces and with the Quantized Electromagnetic Field: I. The Lower Bound
2004/07/31 by Élliott H. Lieb, Elliott H. Lieb, Michael Loss · 1 citation
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #cond-mat.stat-mech #math-ph #math.MP #msc:81V70 #msc:82B10 #msc:82B30
- Inequalities for Lp-norms that sharpen the triangle inequality and\n complement Hanner's Inequality
2018/07/15 by Eric A. Carlen, Carlen, Eric A., Rupert L. Frank +5 · 1 citation
Mathematics · #39B62 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems
- Stability estimate for the Lane-Emden inequality
2024/10/26 by Eric A. Carlen, Carlen, Eric, Mathieu Lewin +5 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics