TY  - BOOK
AU  - E,Weinan
AU  - Lu,Jianfeng
TI  - The Kohn-Sham equation for deformed crystals
T2  - Memoirs of the American Mathematical Society, 
SN  - 9780821894668 (online)
AV  - QD921 .E23 2013
U1  - 548/.8420153154 23
PY  - 2013///
CY  - Providence, Rhode Island
PB  - American Mathematical Society
KW  - Dislocations in crystals
KW  - Mathematical models
KW  - Deformations (Mechanics)
KW  - Density functionals
N1  - "Volume 221 number 1040 (fourth of 5 numbers)."; Includes bibliographical references (page 97); Chapter 1. Introduction; Chapter 2. Perfect crystal; Chapter 3. Stability condition; Chapter 4. Homogeneously deformed crystal; Chapter 5. Deformed crystal and the extended Cauchy-Born rule; Chapter 6. The linearized Kohn-Sham operator; Chapter 7. Proof of the results for the homogeneously deformed crystal; Chapter 8. Exponential decay of the resolvent; Chapter 9. Asymptotic analysis of the Kohn-Sham equation; Chapter 10. Higher order approximate solution to the Kohn-Sham equation; Chapter 11. Proofs of Lemmas 5.3 and 5.4; Appendix A. Proofs of Lemmas 9.3 and 9.9; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2013
UR  - http://www.ams.org/memo/1040
UR  - http://dx.doi.org/10.1090/S0065-9266-2012-00659-9
ER  -