Stochastic Extended Korteweg-De Vries Equation

Year 2019, , 74 - 81, 30.08.2019

Anna Karczewska Maciej Szczecinski

https://doi.org/10.33187/jmsm.459461

Abstract

In the paper, we consider stochastic Korteweg-de Vries - type equation. We give sufficient conditions for the existence and uniqueness of the local mild solution to the equation with additive noise.  We discuss the possibility of the globalization of mild solution, as well.

Keywords

Extended KdV equation, Extended KdV, Mild solution, Near identity transformation

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