Well-Posedness of Stochastic Chemotaxis System

Published 4 Nov 2024 in math.PR | (2411.01847v1)

Abstract: In this paper, we establish the existence and uniqueness of solutions of elliptic-parabolic stochastic Keller-Segel systems. The solution is obtained through a carefully designed localization procedure together with some a priori estimates. Both noise of linear growth and nonlinear noise are considered. The Lp Ito formula plays an important role.

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