LEADER 02696nam 2200589 450 001 9910796038003321 005 20170822144315.0 010 $a0-8218-9466-8 035 $a(CKB)3780000000000139 035 $a(EBL)3114438 035 $a(SSID)ssj0000889024 035 $a(PQKBManifestationID)11478244 035 $a(PQKBTitleCode)TC0000889024 035 $a(PQKBWorkID)10875132 035 $a(PQKB)10852678 035 $a(MiAaPQ)EBC3114438 035 $a(RPAM)17520687 035 $a(PPN)195408241 035 $a(EXLCZ)993780000000000139 100 $a20150416h20122012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Kohn-Sham equation for deformed crystals /$fWeinan E, Jianfeng Lu 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2012. 210 4$dİ2012 215 $a1 online resource (97 p.) 225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 221, Number 1040 300 $a"January 2013, Volume 221, Number 1040 (fourth of 5 numbers)." 311 $a0-8218-7560-4 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""Chapter 10. Higher order approximate solution to the Kohn-Sham equation""""Chapter 11. Proofs of Lemmas 5.3 and 5.4""; ""Appendix A. Proofs of Lemmas 9.3 and 9.9""; ""Acknowledgement""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 221, Number 1040. 606 $aDislocations in crystals$xMathematical models 606 $aDeformations (Mechanics)$xMathematical models 606 $aDensity functionals 615 0$aDislocations in crystals$xMathematical models. 615 0$aDeformations (Mechanics)$xMathematical models. 615 0$aDensity functionals. 676 $a548.8420153154 700 $aE$b Weinan$f1963-$01519521 702 $aLu$b Jianfeng$f1983- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796038003321 996 $aThe Kohn-Sham equation for deformed crystals$93757698 997 $aUNINA