| Record ID | marc_columbia/Columbia-extract-20221130-029.mrc:11409388:3408 |
| Source | marc_columbia |
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LEADER: 03408cam a2200529Ii 4500
001 14214902
005 20190716122518.0
008 190115t20182018fr a b 000 0 eng d
035 $a(OCoLC)on1082267144
040 $aCUI$beng$erda$cCUI$dCUI$dFUG$dL2U$dLWU$dSTF$dUKMGB$dYDX$dWAU$dYDXIT
016 7 $a019197600$2Uk
019 $a1081404616$a1082256974$a1082876357
020 $a9782856298947$qpaperback
020 $a285629894X$qpaperback
029 1 $aUKMGB$b019197600
029 1 $aAU@$b000065208274
035 $a(OCoLC)1082267144$z(OCoLC)1081404616$z(OCoLC)1082256974$z(OCoLC)1082876357
041 0 $aeng$bfre
050 4 $aQC174.17.S3$bB66 2018
050 4 $aQA1$b.A85 no.405
082 04 $a515/.724$223
049 $aZCUA
100 1 $aBony, Jean-François,$eauthor.
245 10 $aResonances for homoclinic trapped sets /$cJean-François Bony, Setsuro Fujiié, Thierry Ramond, Maher Zerzeri.
264 1 $aParis :$bSociété Mathématique de France,$c2018.
264 4 $c©2018
300 $avii, 314 pages :$billustrations ;$c24 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aAstérisque ;$v405
504 $aIncludes bibliographical references (pages 307-314).
505 0 $aGeneral setting -- Resonance free domains -- Asymptotic of the resonances generated by a finite number of homoclinic trajectories -- Asymptotic of the resonences generated by nappes of homoclinic trajectories -- Generalization to multiple barriers -- Resonant states -- General reduction -- Proof of theorem 3.2 -- Proof of theorem 3.8 -- Proof of the asymptotic of the resonances for a finite number of homoclinic curves -- Proof of the other results of Chapter 4 -- Proof of the asymptotic of the resonances for a nappe of homoclinic curves -- Proof of the main results of Chapter 6 -- Proof of the other results of Chapter 6 -- Proof of the asymptotic of the resonant states -- Review of semiclassical analysis -- Some properties of the Hamiltonian flow -- Spectral radius of [T]₀ and [T] -- Distorted and truncated estimates -- Semiclassical maximum principle.
520 $a"We study semiclassical resonances generated by homoclinic trapped sets. First, under some general assumptions, we prove that there is no resonance in a region below the real axis. Then, we obtain a quantization rule and the asymptotic expansion of the resonances when there is a finite number of homoclinic trajectories. The same kind of results is proved for homoclinic sets of maximal dimension. Next, we generalize to the case of homoclinic/heteroclinic trajectories and we study the three bump case. In all these settings, the resonances may either accumulate on curves or form clouds. We also describe the corresponding resonant states"--Page 4 of cover.
546 $aAbstract also in French.
650 0 $aSchrödinger operator.
650 0 $aDynamics.
650 0 $aAsymptotes.
650 0 $aMicrolocal analysis.
650 7 $a31.45 partial differential equations.$0(NL-LeOCL)077601998$2nbc
650 7 $aQuantum theory$xMathematical models.$2fast$0(OCoLC)fst01085134
650 7 $aResonance.$2fast$0(OCoLC)fst01095610
700 1 $aFujiie, Setsurō,$eauthor.
700 1 $aRamond, Thierry,$eauthor.
700 1 $aZerzeri, Maher,$eauthor.
830 0 $aAstérisque ;$v405.
852 00 $bmat$hQA1$i.A82 v.405