Hardy-type estimates for Dirac operators
From MaRDI portal
Publication:3507409
DOI10.1016/j.ansens.2007.11.002zbMath1156.35067OpenAlexW1992096307MaRDI QIDQ3507409
Javier Duoandikoetxea, Luis Vega, Jean Dolbeault, Maria J. Esteban
Publication date: 19 June 2008
Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=ASENS_2007_4_40_6_885_0/
Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05) PDEs in connection with quantum mechanics (35Q40)
Related Items (12)
Optimal non-homogeneous improvements for the series expansion of Hardy’s inequality ⋮ Hardy-Carleman type inequalities for Dirac operators ⋮ Which Nuclear Shape Generates the Strongest Attraction on a Relativistic Electron? An Open Problem in Relativistic Quantum Mechanics ⋮ Self-adjoint extensions of Dirac operators with Coulomb type singularity ⋮ Relativistic Hardy inequalities in magnetic fields ⋮ On a variational problem associated with a Hardy type inequality involving a mean oscillation ⋮ Critical magnetic field for 2D magnetic Dirac-Coulomb operators and Hardy inequalities ⋮ Domains for Dirac-Coulomb min-max levels ⋮ Improved Multipolar Hardy Inequalities ⋮ Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities ⋮ Shell Interactions for Dirac Operators: On the Point Spectrum and the Confinement ⋮ Multipolar Hardy inequalities in \(L^p\)-spaces
Cites Work
- On the eigenvalues of operators with gaps. Application to Dirac operators
- Optimizing improved Hardy inequalities
- An analytical proof of Hardy-like inequalities related to the Dirac operator
- General results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators
- Some weighted Gagliardo-Nirenberg inequalities and applications
- Unnamed Item
This page was built for publication: Hardy-type estimates for Dirac operators
