Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods

The 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 ran...

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Hauptverfasser: Korpusov, Maksim Olegovič (VerfasserIn), Ovchinnikov, Alexey Vital'evich (VerfasserIn), Svešnikov, Aleksej G. 1924- (VerfasserIn), Yushkov, Egor Vladislavovich (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Berlin De Gruyter [2018]
Schriftenreihe:De Gruyter series in nonlinear analysis and applications Volume 27
Schlagworte:
Online-Zugang:DE-1043
DE-1046
DE-898
DE-859
DE-860
DE-91
DE-706
DE-739
DE-858
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Zusammenfassung:The 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
Beschreibung:1 Online-Ressource (XVIII, 326 Seiten)
ISBN:9783110602074
DOI:10.1515/9783110602074

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