Angle singularities of solutions to the Neumann problem for the two-dimensional Riccati’s equation. (English) Zbl 0931.35055

Summary: A two-dimensional Riccati’s equation with Neumann boundary data is considered in a domain with an angular point. Asymptotic formulas for an arbitrary solution near the vertex are obtained.


35J65 Nonlinear boundary value problems for linear elliptic equations
35A20 Analyticity in context of PDEs