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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.]
ISSN: 1314-541X
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