02437cam  22004218i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000270016208200170018910000280020624501510023426300090038526400700039430000340046433600210049833700250051933800230054449000740056750400410064150507030068250600500138553300950143553800360153058800470156665000320161365000270164565000200167265000220169270000290171477601800174385600440192385600480196717985420RPAM20170613145027.0m      b    000 0 cr/|||||||||||170613s2014    riu     ob    000 0 eng    a9781470415303 (online)  aDLCbengcDLCerdadRPAM00aQC174.26.W28bB94 201400a530.12/42231 aByeon, Jaeyoung,d1966-10aSemiclassical standing waves with clustering peaks for nonlinear schrodinger equations /h[electronic resource] cJaeyoung Byeon, Kazunaga Tanaka.  a1111 1aProvidence, Rhode Island :bAmerican Mathematical Society,c2014.  a1 online resource (pages cm.)  atext2rdacontent  aunmediated2rdamedia  avolume2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1076  aIncludes bibliographical references.00tChapter 1. Introduction and resultstChapter 2. PreliminariestChapter 3. Local centers of masstChapter 4. Neighborhood $\Omega _\varepsilon (\rho ,R,\beta )$ and minimization for a tail of $u$ in $\Omega _\varepsilon $tChapter 5. A gradient estimate for the energy functionaltChapter 6. Translation flow associated to a gradient flow of $V(x)$ on ${\bf R}^N$tChapter 7. Iteration procedure for the gradient flow and the translation flowtChapter 8. An $(N+1)\ell _0$-dimensional initial path and an intersection resulttChapter 9. Completion of the proof of Theorem 1.3tChapter 10. Proof of Proposition 8.3tChapter 11. Proof of Lemma 6.1tChapter 12. Generalization to a saddle point setting1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2014  aMode of access : World Wide Web  aDescription based on print version record. 0aGross-Pitaevskii equations. 0aSchrčodinger equation. 0aStanding waves. 0aCluster analysis.1 aTanaka, Kazunaga,d1959-0 iPrint version: aByeon, Jaeyoung, 1966-tSemiclassical standing waves with clustering peaks for nonlinear schrodinger equations /w(DLC)   2013051230x0065-9266z97808218916364 3Contentsuhttp://www.ams.org/memo/1076/4 3Contentsuhttps://doi.org/10.1090/memo/1076