EXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACE
Loading...
Date
2024-04-15
Authors
Umirzakov, Yerzhan
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Science and Humanities
Abstract
The system of Korteweg–De Vries (KdV) equations is a system of
partial differential equations. It is used to describe the modeling of shallow water
surface waves. In this paper, we show the well-posedness of the coupled Kor-
teweg–De Vries system of equations with initial data under Sobolev Space and
Weighted Sobolev Space for 3/4 ≤ s ≤ 1.
Description
Keywords
Type of Access: Embargo, Sobolev Space, Weighted Sobolev Space, Well-posedness, Bourgain Space
Citation
Umirzakov, Y. (2024). EXISTENCE AND UNIQUENESS RESULTS FOR A SYSTEM OF COUPLED KDV EQUATIONS IN WEIGHTED SOBOLEV SPACE. Nazarbayev University School of Science and Humanities