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

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 Schr�dinger equation Variational method of L. E. Payne and D. H. Sattinger Breaking of solutions of wave equations Auxiliary and additional results Additional ISBNs3110601087, 3110602075, 9783110601084, 9783110602074Read More Blow-Up in Nonlinear Equations of Mathematical Physics: Theory and Methods 1st Edition is written by Maxim Olegovich Korpusov; Alexey Vital’evich Ovchinnikov; Alexey Georgievich Sveshnikov; Egor Vladis and published by De Gruyter. ISBNs for Blow-Up in Nonlinear Equations of Mathematical Physics are 9783110599008, 3110599007 and the print ISBNs are 9783110601084, 3110601087. Additional ISBNs include 3110601087, 3110602075, 9783110601084, 9783110602074.