Well-posedness and the Łojasiewicz-Simon inequality in the asymptotic analysis of a nonlinear heat equation with constraints of finite codimension

This article likely presents a mathematical analysis of a nonlinear heat equation. The focus is on the well-posedness of the equation and the application of the Łojasiewicz-Simon inequality in its asymptotic behavior. The constraints of finite codimension suggest a specific geometric or functional setting. The research is likely theoretical and aimed at advancing the understanding of this specific type of equation.