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

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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

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Blow-up in Nonlinear Equations of Mathematical Physics: Theory and Methods分类索引数据信息

ISBN：9783110601084
出版日期：暂无出版时间
适合人群：Academics in mathematics, physics, and engineering; Researchers in applied mathematics; Graduate students and advanced undergraduates in these fields
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