3 papers
math.AP2026
Generic regularity and Lipschitz metric for a two-component Novikov system
Kenneth H. Karlsen, Yan Rybalko
We investigate the Cauchy problem for a two-component generalization of the Novikov equation with cubic nonlinearity -- an integrable system whose solutions may develop strong nonl…
math.AP2025
Global semigroup of conservative weak solutions of the two-component Novikov equation
Kenneth H. Karlsen, Yan Rybalko
We study the Cauchy problem for the two-component Novikov system with initial data in such that the product belongs to…
math.PR2025
Yamada-Watanabe uniqueness results for SPDEs driven by Wiener and pure jump processes
Kistosil Fahim, Erika Hausenblas, Kenneth H. Karlsen
The Yamada-Watanabe theory provides a robust framework for understanding stochastic equations driven by Wiener processes. Despite its comprehensive treatment in the literature, the…