Controllability Problems for the Korteweg–de Vries Equation with Integral Overdetermination

Author:

Faminskii A. V.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference31 articles.

1. Korteweg, D.G and de Vries, G., On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves, Philos. Mag., 1895, vol. 39, pp. 422–443.

2. Temam, R., Sur un problème non linéaire, J. Math. Pures Appl., 1969, vol. 48, no. 2, pp. 159–172.

3. Khablov, V.V., O nekotorykh korrektnykh postanovkakh granichnykh zadach dlya uravneniya Kortevega–de Friza (On Some Well-Posed Statements of Boundary Value Problems for the Korteweg–de Vries Equation), Preprint Inst. Mat. Sib. Otd. Akad. Nauk SSSR, Novosibirsk, 1979.

4. Bubnov, B.A., Solvability in the large of nonlinear boundary value problems for the Korteweg–de Vries equation in a bounded domain, Differ. Uravn., 1980, vol. 16, no. 1, pp. 34–41.

5. Faminskii, A.V., On an initial boundary value problem in a bounded domain for the generalized Korteweg–de Vries equation, Funct. Differ. Equations, 2001, vol. 8, no. 1–2, pp. 183–194.

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