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Existence and asymptotic expansion for a nonlinear wave equation associated with nonlinear boundary conditions

✍ Scribed by Nguyen Thanh Long; Vo Giang Giai


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
477 KB
Volume
67
Category
Article
ISSN
0362-546X

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Existence of travelling wave solutions f
✍ Mads Kyed πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 234 KB πŸ‘ 1 views

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