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Theorems on the existence and nonexistence of solutions of the Cauchy problem for degenerate parabolic equations with nonlocal source

✍ Scribed by N. V. Afanas’eva; A. F. Tedeev


Publisher
Springer
Year
2005
Tongue
English
Weight
443 KB
Volume
57
Category
Article
ISSN
0041-5995

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Existence and nonexistence of global sol
✍ Changming Song; Zhijian Yang 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 1 views

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