Dynamic Spatial Treatment Effects as Continuous Functionals: Theory and Evidence from Healthcare Access
作为连续泛函的动态空间处理效应:医疗可及性的理论与证据
I develop a continuous functional framework for spatial treatment effects grounded in Navier-Stokes partial differential equations. Rather than discrete treatment parameters, the framework characterizes treatment intensity as continuous functions $τ(\mathbf{x}, t)$ over space-time, enabling rigorous analysis of boundary evolution, spatial gradients, and cumulative exposure. Empirical validation using 32,520 U.S. ZIP codes demonstrates exponential spatial decay for healthcare…