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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. Contents Nonlinear capacity method of S. I.
Pokhozhaev Method of self-similar solutions of V. A. Galaktionov
Method of test functions in combination with method of nonlinear
capacity Energy method of H. A. Levine Energy method of G. Todorova
Energy method of S. I. Pokhozhaev Energy method of V. K. Kalantarov
and O. A. Ladyzhenskaya Energy method of M. O. Korpusov and A. G.
Sveshnikov Nonlinear Schroedinger equation Variational method of L.
E. Payne and D. H. Sattinger Breaking of solutions of wave
equations Auxiliary and additional results
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