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A nonlinear wave equation associated with nonlinear boundary conditions: Existence and asymptotic expansion of solutions

โœ Scribed by Nguyen Thanh Long; Vo Giang Giai


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
378 KB
Volume
66
Category
Article
ISSN
0362-546X

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Existence of travelling wave solutions f
โœ Mads Kyed ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 234 KB ๐Ÿ‘ 1 views

## Abstract The existence of travelling wave solutions for the heat equation โˆ‚~__t__~ __u__ โ€“ฮ”__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (โˆ‚__u__ /โˆ‚__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin