9 citations · 16 across the 5 of their papers we have counts for
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math.AP2003
First-order hyperbolic pseudodifferential equations with generalized symbols
Guenther Hoermann
We consider the Cauchy problem for a hyperbolic pseudodifferential operator whose symbol is generalized, resembling a representative of a Colombeau generalized function. Such equat…
math.AP2003★ 6 cited
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…
math.AP2003★ 9 cited
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…