Criteria of Solvability for Multidimensional Riccati Equations with Boundary Measure Data
TIAN Qiaoyu
Abstract：In this paper, we study the solvability problem for multidimensional Riccati equation -Δu=?u q,x∈RN+,u=μ,x∈?RN+ where q>1,μis a nonnegative Radon measure on?RN+.Our proof is based on iterative technique and some estimates of the Green function and its gradient.The main features of this pa-per yields not only the existence,but also new pointwise estimates for solutions and their gradients.
Keywords：multidimensional riccati equationboundary measure datapointwise estimatesRadon meas-ure
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 361-364 )