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Global Existence of Solutions for the Cauchy Problem of the Kawahara Equation withL2Initial Data

โœ Scribed by Shang Bin Cui; Dong Gao Deng; Shuang Ping Tao

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
203 KB
Volume
22
Category
Article
ISSN
1439-7617

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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
โœ Changming Song; Zhijian Yang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 207 KB ๐Ÿ‘ 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