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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSemiclassical standing waves with clustering peaks for nonlinear Schro?dinger equations /$fJaeyoung Byeon, Kazunaga Tanaka
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2013.
210  4$dİ2013
215   $a1 online resource (104 p.)
225 1 $aMemoirs of the American Mathematical Society,$x1947-6221 ;$vVolume 229, Number 1076
300   $a"Volume 229, Number 1076 (third of 5 numbers)."
311   $a0-8218-9163-4 
320   $aIncludes bibliographical references.
327   $a""4.1. A choice of parameters and minimization""""4.2. Invariant new neighborhoods""; ""4.3. Width of a set I??  (  a???,  a???)a???I??  (  a???,  a???)""; ""Chapter 5. A gradient estimate for the energy functional""; ""5.1.   -dependent concentration-compactness argument""; ""5.2. A gradient estimate""; ""5.3. Gradient flow of the energy functional I??_{  }""; ""Chapter 6. Translation flow associated to a gradient flow of   (  ) on \R^{  }""; ""6.1. A pseudo-gradient flow on \overline{  }_{3  a???}(  )^{a???a???} associated to   (  a???)+\cdots+  (  _{a???a???})""
327   $a""6.2. Definition of a translation operator""""6.3. Properties of the translation operator""; ""Chapter 7. Iteration procedure for the gradient flow and the translation flow""; ""Chapter 8. An (  +1)a???a???-dimensional initial path and an intersection result""; ""8.1. A preliminary path   a???""; ""8.2. An initial path   _{1  }""; ""8.3. An intersection property""; ""Chapter 9. Completion of the proof of Theorem 1.3""; ""Chapter 10. Proof of Proposition 8.3""; ""10.1. An interaction estimate""; ""10.2. Preliminary asymptotic estimates""; ""10.3. Proof of Proposition 10.1""
327   $a""Chapter 11. Proof of Lemma 6.1""""Chapter 12. Generalization to a saddle point setting""; ""12.1. Saddle point setting""; ""12.2. Proof of Theorem 12.1""; ""Acknowledgments""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 229, Number 1076.
606   $aGross-Pitaevskii equations
606   $aSchro?dinger equation
606   $aStanding waves
606   $aCluster analysis
615  0$aGross-Pitaevskii equations.
615  0$aSchro?dinger equation.
615  0$aStanding waves.
615  0$aCluster analysis.
676   $a530.12/4
700   $aByeon$b Jaeyoung$f1966-$01688966
702   $aTanaka$b Kazunaga$f1959-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910807868703321
996   $aSemiclassical standing waves with clustering peaks for nonlinear Schro?dinger equations$94063626
997   $aUNINA