9 citations · 15 across the 3 of their papers we have counts for
3 papers
Generalized flows and singular ODEs on differentiable manifolds
Michael Kunzinger, Michael Oberguggenberger, Roland Steinbauer +1
Based on the concept of manifold valued generalized functions we initiate a study of nonlinear ordinary differential equations with singular (in particular: distributional) right h…
Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
Guenther Hoermann, Michael Oberguggenberger, Stevan Pilipovic
We investigate microlocal properties of partial differential operators with generalized functions as coefficients. The main result is an extension of a corresponding (microlocalize…
Elliptic regularity and solvability for partial differential equations with Colombeau coefficients
Guenther Hoermann, Michael Oberguggenberger
The paper addresses questions of existence and regularity of solutions to linear partial differential equations whose coefficients are generalized functions or generalized constant…