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Parametric Resonance and Nonexistence of the Global Solution to Nonlinear Wave Equations

โœ Scribed by Karen Yagdjian

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
144 KB
Volume
260
Category
Article
ISSN
0022-247X

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โœฆ Synopsis

We give an example of the influence of the dependence of the coefficient of equation on time variable, and in particular oscillations in time, on a global existence of the solution to the nonlinear hyperbolic equation. Namely for arbitrary small initial data we construct a blowing up solution.

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