Affiliation:
1. Universidade Estadual de Maringá
2. Universidade Tecnológica Federal do Paraná
Abstract
A boundary value problem for a stationary nonlinear dispersive equation of 2l+1 order with a convective term in the form u^ku_x, k\in N was considered on an interval (0,L). The existence, uniqueness and continuous dependence of a regular solution as well as a relation between the order l and critical values of k of the equation have been established.
Publisher
Sociedade Paranaense de Matematica
Reference37 articles.
1. 1. Adams, R., Sobolev Spaces, Second Ed., Academic Press, Elsevier Science, (2003).
2. 2. Araruna F. D., Capistriano-Filho R. A. and Doronin G. G., Energy decay for the modified Kawahara equation posed in a bounded domain, J. Math. Anal. Appl. 385, 743-756, (2012).
3. 3. Biagioni, H. A. and Linares, F., On the Benney - Lin and Kawahara equations, J. Math. Anal. Appl. 211, 131-152, (1997).
4. 4. Bona, J. L., Sun, S. M. and Zhang, B. Y., Nonhomogeneous problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane, Ann. Inst. H. Poincar´e Anal. Non Lin´eaire 25, 1145-1185, (2008).
5. 5. Bubnov, B. A., Solvability in the large of nonlinear boundary-value problems for the Korteweg-de Vries equation in a bounded domain, (Russian) Differentsial’nye uravneniya 16, No 1, 34-41, (1980), Engl. transl. in: Differ. Equations 16, 24-30, (1980).
Cited by
2 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献