Well-Posedness for a System of Generalized KdV-Type Equations Driven by White Noise
In this paper, we investigate the Cauchy problem for the coupled generalized Korteweg–de Vries system driven by a cylindrical Wiener process. We prove local well-posedness for data in Hs×Hs, with s>12. The key methods that we used in this paper are multilinear estimates in Bourgain spaces, the Itô formula, and a fixed-point argument.
Authors
- Mdi Begum Jeelani (ORCID: https://orcid.org/0000-0002-8812-2859)
- Aissa Boukarou (ORCID: https://orcid.org/0000-0002-8586-1058)
- Nouf Abdulrahman Alqahtani (ORCID: https://orcid.org/0009-0003-6771-0525)
Institutions
- University of Sciences and Technology Houari Boumediene (DZ)
- Imam Mohammad ibn Saud Islamic University (SA)
Publication Details
- Journal
- Axioms
- Published
- 2025-12-11
- DOI
- https://doi.org/10.3390/axioms14120911
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00