On the nonexistence of global solutions to a nonlinear Euler-Poisson-Darboux equation
β Scribed by Howard A. Levine
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 214 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
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.
The paper studies the existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation arising in the model in variational form for the neo-Hookean elastomer rod where k 1 ,k 2 > 0 are real numbers, g(s) is a given nonlinear function. When g(s) = s n (where n 2 is