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On existence and nonexistence of global solutions of Cauchy–Goursat problem for nonlinear wave equations

✍ Scribed by O. Jokhadze

Book ID
108176041
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
183 KB
Volume
340
Category
Article
ISSN
0022-247X

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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