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Blow-up in Nonlinear Equations of Mathematical Physics: Theory and Methods书籍详细信息

ISBN：9783110601084
作者：暂无作者
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丛书：De Gruyter Series in Nonlinear Analysis and Applications
适合人群：Academics in mathematics, physics, and engineering; Researchers in applied mathematics; Graduate students and advanced undergraduates in these fields
TAG：Mathematical Physics / Partial differential equations / Numerical Methods / Nonlinear Equations / Theoretical Analysis
豆瓣评分：暂无豆瓣评分
更新时间：2025-05-17 03:46:27

内容简介：

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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