[18] On the well-posedness of weakly
hyperbolic equations with time dependent coefficients, with Michael Ruzhansky.
Preprint (2011), to appear in JDE. Available here
[17] Generalised Fourier integral
operator methods for hyperbolic equations with singularities, with Michael
Oberguggenberger. Preprint (2011). Available here
[16] Symmetriser and generalised
solutions for strictly hyperbolic systems with singular coefficients, with
Michael Oberguggenberger. Preprint (2011), to appear in Math. Nach. Available here
[15]
$L^p$ and Sobolev boundedness of pseudodifferential operators with non-regular
symbol: a regularisation approach. J.
Math. Anal. Appl., 381, 328-343, (2011). Available here
[14]
Hilbert $\wt{\C}$-modules: structural properties and applications to
variational problems,
with H. Vernaeve.
Trans. Amer. Math. Soc., 363/4, 2074-2090, (2011). Available here
[13] $\G$- and $\Ginf$-hypoellipticity of
partial differential operators with constant Colombeau coefficients.
Linear and non-linear theory of generalised functions and its applications,
111–131, Banach Center Publ., 88, Polish Acad. Sci. Inst. Math., Warsaw, (2010).
Available here
[12] Sufficient conditions of local
solvability for partial differential operators on spaces of Colombeau type.
Electron. J. Diff. Eqns., Vol. 2009(2009), No. 116, pp. 1-43. Available
here
[11] Closed graph and open mapping theorems for topological $\wt{\C}$-modules
and applications.
Math. Nachr., 282/8, 1159-1188, (2009). Available here
[10] Generalised oscillatory integrals and Fourier integral operators,
with G. Hoermann and M. Oberguggenberger.
Proc. Edinburgh Math. Soc., 52/02, 351-386 (2009). Available here
[9] Fundamental solutions in the Colombeau framework: applications to
solvability and regularity theory.
Acta. Appl. Math. 102, 281-318, (2008). Available here
[8] Generalised Fourier Integral Operators on spaces of Colombeau type.
Operator Theory, Advances and Applications 189, 137-184, (2008). Available
here
[7] Microlocal analysis in the dual of a Colombeau algebra: generalised wave
front sets and noncharacteristic regularity.
[6] On duality theory and pseudodifferential techniques for Colombeau algebras:
generalised kernels and microlocal analysis,
with G. Hoermann.
Proceedings of the Conference ``Generalised Functions 2004'', University of
Novi Sad, Bull. Cl. Sci. Math. Nat. Sci. Math. 31, 115-136, (2006). Available
here
[5] Topological structures in Colombeau algebras: investigation into the duals
of} $\G_c(\Om)$, $\G(\Om)$ and $\G_S(\R^n)$.
Monatsh. Math. 146/3, 203-226, (2005). Available here
[4] Topological structures in Colombeau algebras: topological $\wt{\C}$-modules
and duality theory.
Acta. Appl. Math. 88/1, 81-123, (2005). Available here
[3] Microlocal analysis of generalized functions: pseudodifferential techniques
and propagation of singularities ,
with G. Hoermann
Proc. Edinb. Math. Soc. 48, 603-629 (2005). Available here
[2] Pseudodifferential operators with generalised symbols and regularity theory
,
with T. Gramchev and M. Oberguggenberger
Electron. J. Diff. Eqns., 2005(2005), No. 116, pp. 1-43. Available here
[1] Pseudo-Differential Operators in algebras of generalised functions and
global hypoellipticity.
Acta Appl. Math. 80/2, 123-174, (2004). Available here
PhD-thesis here
Habilitation-thesis here