TY - BOOK AU - E.,Weinan AU - Lu,Jianfeng TI - Kohn-Sham Equation for Deformed Crystals T2 - Memoirs of the American Mathematical Society SN - 9780821894668 AV - QD921 -- .E945 2012eb U1 - 548/.8420153154 PY - 2013/// CY - Providence PB - American Mathematical Society KW - Dislocations in crystals -- Mathematical models KW - Deformations (Mechanics) -- Mathematical models KW - Density functionals KW - Electronic books N1 - Intro -- Contents -- Abstract -- 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 -- 1. From density to potential: Uniform estimates of the 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 -- Acknowledgement -- Bibliography UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114438 ER -