Blow-Up in Nonlinear Equations of Mathematical Physics : : Theory and Methods / / Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov.

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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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 27
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Physical Description:1 online resource (XVIII, 326 p.)
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100 1 |a Korpusov, Maxim Olegovich,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Blow-Up in Nonlinear Equations of Mathematical Physics :  |b Theory and Methods /  |c Maxim Olegovich Korpusov, Alexey Vital'evich Ovchinnikov, Alexey Georgievich Sveshnikov, Egor Vladislavovich Yushkov. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2018] 
264 4 |c ©2018 
300 |a 1 online resource (XVIII, 326 p.) 
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490 0 |a De Gruyter Series in Nonlinear Analysis and Applications ,  |x 0941-813X ;  |v 27 
505 0 0 |t Frontmatter --   |t Contents --   |t Introduction --   |t Notation --   |t List Of Nonlinear Equations --   |t 1. Nonlinear Capacity Method Of S. I. Pokhozhaev --   |t 2. Method Of Self-Similar Solutions Of V. A. Galaktionov --   |t 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity --   |t 4. Energy Method Of H. A. Levine --   |t 5. Energy Method Of G. Todorova --   |t 6. Energy Method Of S. I. Pokhozhaev --   |t 7. Energy Method Of V. K. Kalantarov And O. A. Ladyzhenskaya --   |t 8. Energy Method Of M. O. Korpusov And A. G. Sveshnikov --   |t 9. Nonlinear Schrödinger Equation --   |t 10. Variational Method Of L. E. Payne And D. H. Sattinger --   |t 11. Breaking Of Solutions Of Wave Equations --   |t A Auxiliary And Additional Results --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) 
650 0 |a Differential equations, Partial  |x Numerical solutions. 
650 4 |a Aufblasung. 
650 4 |a Mathematische Physik. 
650 4 |a Nichtlineare partielle Differentialgleichung. 
650 7 |a MATHEMATICS / Differential Equations / Partial.  |2 bisacsh 
700 1 |a Ovchinnikov, Alexey Vital'evich,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Sveshnikov, Alexey Georgievich,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Yushkov, Egor Vladislavovich,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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