On the oblique derivative problem in an infinite angle
The authors deal with the elliptic boundary value problem \[ -\Delta u+su= f \text{ in }\Omega,\;{\partial \over\partial n} u+h_i{\partial \over\partial r} u=\varphi_i \text{ on } \gamma_i,\;(i=1,2), \] where \(\gamma_i\) are the sides of an infinite angle \(\Omega\) in \(\mathbb{R}^2\) and \(h_i\in \mathbb{R}\), \(s\in C\), \(\text{Re} s\geq 0\). They present a solution theory in weighted Sobolev spaces and indicate applications to a corresponding parabolic problem.
scientific article; zbMATH DE number 1127675