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Nonexistence of Global Solutions to the Cauchy Problem for the Damped Nonlinear Schrödinger Equations

✍ Scribed by Tsutsumi, Masayoshi

Book ID
111904019
Publisher
Society for Industrial and Applied Mathematics
Year
1984
Tongue
English
Weight
642 KB
Volume
15
Category
Article
ISSN
0036-1410

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Existence and nonexistence of global sol
Existence and nonexistence of global solutions to the Cauchy problem for a nonlinear beam equation
✍ 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