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

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1
• VerfasserIn: Korpusov, Maxim Olegovich,; Ovchinnikov, Alexey Vital'evich,; Sveshnikov, Alexey Georgievich,; Yushkov, Egor Vladislavovich,
• 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
• Physical Description: 1 online resource (XVIII, 326 p.)
• Other title: Frontmatter --; Contents --; Introduction --; Notation --; List Of Nonlinear Equations --; 1. Nonlinear Capacity Method Of S. I. Pokhozhaev --; 2. Method Of Self-Similar Solutions Of V. A. Galaktionov --; 3. Method Of Test Functions In Combination With Method Of Nonlinear Capacity --; 4. Energy Method Of H. A. Levine --; 5. Energy Method Of G. Todorova --; 6. Energy Method Of S. I. Pokhozhaev --; 7. Energy Method Of V. K. Kalantarov And O. A. Ladyzhenskaya --; 8. Energy Method Of M. O. Korpusov And A. G. Sveshnikov --; 9. Nonlinear Schrödinger Equation --; 10. Variational Method Of L. E. Payne And D. H. Sattinger --; 11. Breaking Of Solutions Of Wave Equations --; A Auxiliary And Additional Results --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110602074; 9783110762488; 9783110719550; 9783110604252; 9783110603255; 9783110604191; 9783110603194
• ISSN: 0941-813X
• DOI: 10.1515/9783110602074
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 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