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010   $a3-11-059900-7
010   $a3-11-060207-5
024 7 $a10.1515/9783110602074
035   $a(CKB)4560000000000363
035   $a(MiAaPQ)EBC5516061
035   $a(DE-B1597)494900
035   $a(OCoLC)1048661733
035   $a(DE-B1597)9783110602074
035   $a(Au-PeEL)EBL5516061
035   $a(EXLCZ)994560000000000363
100   $a20181008d2018      uy             0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aBlow-up in nonlinear equations of mathematical physics $etheory and methods /$fMaxim Olegovich Korpusov [and three others]
210  1$aBerlin ;$aBoston :$cDe Gruyter,$d2018.
215   $a1 online resource (348 pages)
225 1 $aDe Gruyter series in nonlinear analysis and applications ;$vVolume 27
311   $a3-11-060108-7 
320   $aIncludes bibliographical references and index.
327   $tFrontmatter -- $tContents -- $tIntroduction -- $tNotation -- $tList Of Nonlinear Equations -- $t1. Nonlinear Capacity Method Of S. I. Pokhozhaev -- $t2. Method Of Self-Similar Solutions Of V. A. Galaktionov -- $t3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity -- $t4. Energy Method Of H. A. Levine -- $t5. Energy Method Of G. Todorova -- $t6. Energy Method Of S. I. Pokhozhaev -- $t7. Energy Method Of V. K. Kalantarov And O. A. Ladyzhenskaya -- $t8. Energy Method Of M. O. Korpusov And A. G. Sveshnikov -- $t9. Nonlinear Schrödinger Equation -- $t10. Variational Method Of L. E. Payne And D. H. Sattinger -- $t11. Breaking Of Solutions Of Wave Equations -- $tA Auxiliary And Additional Results -- $tBibliography -- $tIndex
330   $aThe present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics. The included material is based on lectures read by the authors at the Lomonosov Moscow State University, and the book is addressed to a wide range of researchers and graduate students working in nonlinear partial differential equations, nonlinear functional analysis, and mathematical physics. ContentsNonlinear capacity method of S. I. PokhozhaevMethod of self-similar solutions of V. A. GalaktionovMethod of test functions in combination with method of nonlinear capacityEnergy method of H. A. LevineEnergy method of G. TodorovaEnergy method of S. I. PokhozhaevEnergy method of V. K. Kalantarov and O. A. LadyzhenskayaEnergy method of M. O. Korpusov and A. G. SveshnikovNonlinear Schrödinger equationVariational method of L. E. Payne and D. H. SattingerBreaking of solutions of wave equationsAuxiliary and additional results 
410  0$aDe Gruyter series in nonlinear analysis and applications ;$vVolume 27.
606   $aDifferential equations, Partial$xNumerical solutions
615  0$aDifferential equations, Partial$xNumerical solutions.
676   $a530.155353
700   $aKorpusov$b M. O.$01034924
702   $aOvchinnikov$b Alexey Vital'evich, 
702   $aSveshnikov$b Alexey Georgievich, 
702   $aYushkov$b Egor Vladislavovich, 
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910795187203321
996   $aBlow-up in nonlinear equations of mathematical physics$93803249
997   $aUNINA