5 citations · 8 across the 12 of their papers we have counts for
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Solvability and microlocal analysis of the fractional Eringen wave equation
Günther Hörmann, Ljubica Oparnica, Dušan Zorica
We discuss unique existence and microlocal regularity properties of Sobolev space solutions to the fractional Eringen wave equation, initially given in the form of a system of equa…
The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities
Hideo Deguchi, Guenther Hoermann, Michael Oberguggenberger
This paper is devoted to the investigation of propagation of singularities in hyperbolic equations with non-smooth oefficients, using the Colombeau theory of generalized functions.…
Wave equations and symmetric first-order systems in case of low regularity
Clemens Hanel, Günther Hörmann, Christian Spreitzer +1
We analyse an algorithm of transition between Cauchy problems for second-order wave equations and first-order symmetric hyperbolic systems in case the coefficients as well as the d…
Symmetric hyperbolic systems in algebras of generalized functions and distributional limits
Guenther Hoermann, Christian Spreitzer
We study existence, uniqueness, and distributional aspects of generalized solutions to the Cauchy problem for first-order symmetric (or Hermitian) hyperbolic systems of partial dif…
Wave equations on non-smooth space-times
Guenther Hoermann, Michael Kunzinger, Roland Steinbauer
We consider wave equations on Lorentzian manifolds in case of low regularity. We first extend the classical solution theory to prove global unique solvability of the Cauchy problem…