LEADER 03527nam 2200529 450 001 9910468035403321 005 20200520144314.0 010 $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 608 $aElectronic books. 615 0$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 $a9910468035403321 996 $aBlow-up in nonlinear equations of mathematical physics$92454332 997 $aUNINA