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Conditions for Nonexistence of Global Solutions of the Cauchy Problem for a Parabolic Equation with an Integral Nonlinear Perturbation

✍ Scribed by G. I. Laptev


Book ID
110347312
Publisher
Springer
Year
2002
Tongue
English
Weight
141 KB
Volume
38
Category
Article
ISSN
0012-2661

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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