02282cam  2200409 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000210016708200240018810000220021224500990023426400700033330000360040333600210043933700250046033800230048549000740050850000520058250400510063450505740068550600500125953300950130953800360140458800470144065000510148765000510153865000250158970000250161477601280163985600430176785600620181017520687RPAM20170613144958.0m      b    000 0 cr/|||||||||||170613s2013    riu     ob    000 0 eng    a9780821894668 (online)  aDLCbengcDLCerdadDLCdRPAM00aQD921b.E23 201300a548/.84201531542231 aE, Weinan,d1963-14aThe Kohn-Sham equation for deformed crystals /h[electronic resource] cWeinan E, Jianfeng Lu. 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2013.  a1 online resource (v, 97 pages)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1040  a"Volume 221 number 1040 (fourth of 5 numbers)."  aIncludes bibliographical references (page 97).00tChapter 1. IntroductiontChapter 2. Perfect crystaltChapter 3. Stability conditiontChapter 4. Homogeneously deformed crystaltChapter 5. Deformed crystal and the extended Cauchy-Born ruletChapter 6. The linearized Kohn-Sham operatortChapter 7. Proof of the results for the homogeneously deformed crystaltChapter 8. Exponential decay of the resolventtChapter 9. Asymptotic analysis of the Kohn-Sham equationtChapter 10. Higher order approximate solution to the Kohn-Sham equationtChapter 11. Proofs of Lemmas 5.3 and 5.4tAppendix A. Proofs of Lemmas 9.3 and 9.91 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2013  aMode of access : World Wide Web  aDescription based on print version record. 0aDislocations in crystalsxMathematical models. 0aDeformations (Mechanics)xMathematical models. 0aDensity functionals.1 aLu, Jianfeng,d1983-0 iPrint version: aE, Weinan, 1963-tKohn-Sham equation for deformed crystals /w(DLC)   2012035213x0065-9266z97808218756054 3Contentsuhttp://www.ams.org/memo/10404 3Contentsuhttps://doi.org/10.1090/S0065-9266-2012-00659-9