𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Moments of Negative Eigenvalues of an Elliptic Operator

✍ Scribed by Yu. V. Egorov; V. A. Kondratiev

Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
245 KB
Volume
174
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

On Moments of Negative Eigenvalues for t
On Moments of Negative Eigenvalues for the Pauli Operator
✍ Zhongwei Shen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 471 KB

This paper concerns the three-dimensional Pauli operator P=(\_ } (p&A(x))) 2 +V(x) with a nonhomogeneous magnetic field B=curl A. The following Lieb Thirring type inequality for the moment of negative eigenvalues is established as where p>3Γ‚2 and b p (x) is the L p average of |B| over certain cube

On Iterations of Non–Negative Operators
On Iterations of Non–Negative Operators and Their Applications to Elliptic Systems
✍ Alexander Shlapunov πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 172 KB

H 0 and one can use the Neumann series ∞ ν=0 (I -L L) ν L f in order to study solvability of the operator equation Lu = f . In particular, applying this method to the ill -posed Cauchy problem for solutions to an elliptic system P u = 0 of linear PDE's of order p with smooth coefficients we obtain