Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3212

 Title: Revised concavity method and applications to nonlinear dispersive equations Other Titles: Обобщен метод на Левин и приложения за нелинейни дисперсни уравнения Authors: Kutev, N.Kolkovska, N.Dimova, M. Keywords: Department of Mathematical Modeling and Numerical Analysis Issue Date: Jun-2015 Publisher: Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences Citation: Scientific Reports Series/Report no.: 2015;2 Abstract: A new ordinary differential inequality without global solutions is proposed. Comparison with similar differential inequalities in the well-known concavity method is performed. As an application, finite time blow up of the solutions to nonlinear Klein-Gordon equation is proved. The initial energy is arbitrary high positive. The structural conditions on the initial data generalize the assumptions used in the literature for the time being. Description: [Kutev N.; Кутев Н.]; [Kolkovska N.; Кольковска Н.]; [Dimova M.; Димова М.] URI: http://hdl.handle.net/10525/3212 ISSN: 1314-541X Appears in Collections: Preprints

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