Control Problems with an Integral Condition for Korteweg–de Vries Equation on Unbounded Domains

The initial and initial-boundary value problems, posed on infinite domains for Korteweg–de Vries equation, are considered. The right-hand side of the equation contains an unknown function, regarded as a control, which must be chosen such that the corresponding solution should satisfy certain additional integral condition. Results on existence and uniqueness are established in the cases of small input data or small time interval. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Authors
Editors
-
Publisher
Kluwer Academic Publishers-Plenum Publishers
Number of issue
-
Language
English
Pages
-
Status
Published
Department
-
Number
-
Volume
-
Year
2018
Organizations
  • 1 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
Keywords
Control; Initial-boundary value problem; Integral condition; Korteweg–de Vries equation
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6961/