Michael Oberguggenberger
Mathematical Physics · with Hörmann · 2001–2008
A researcher in the Science corpus: 7 papers; trusts 2 researchers and is trusted by 4 researchers here, as inferred from the citation graph.
Subfields
- Mathematical Physics — 12 citations into it; #4,005 of 8,562 by trust here, #2,387 by citations
Whom Michael Oberguggenberger trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts Michael Oberguggenberger overall
Papers from Michael Oberguggenberger's perspective
Ordered by how strongly the researchers Michael Oberguggenberger trusts endorse each paper. Same corpus, a different order for every researcher.
- Microlocal Analysis and Global Solutions of Some Hyperbolic Equations with Discontinuous Coefficients
- Pseudo-Differential Operators in Algebras of Generalized Functions and Global Hypoellipticity
- Colombeau's generalized functions: Topological structures, microlocal properties - a simplified point of view - part II
- Topological Structures in Colombeau Algebras: Investigation of the Duals of ${\cal G}_{{\rm c}}(\Omega)$, ${\cal G}(\Omega)$ and ${\cal G}_{{\cal S}}({\Bbb R}^n)$
- Topological Structures in Colombeau Algebras: Topological $\widetilde{\mathbb{C}}$ -modules and Duality Theory
- Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients
- Introduction to partial differential equations (Boletim da Sociedade Paranaense de Matemática)
- Perturbation theory for linear operators
- On the optimal regularity of coefficients in hyperbolic Cauchy problems
- An embedding of Schwartz distributions in the algebra of asymptotic functions
Their papers
- Reliability bounds through random sets (2008) — 73 citations
- Interactions of delta shock waves in a strictly hyperbolic system of conservation laws (2008) — 120 citations
- Pseudodifferential operators with generalized symbols and regularity theory (2005) — 62 citations
- Elliptic regularity and solvability for partial differential equations with Colombeau coefficients (2003) — 58 citations
- Microlocal hypoellipticity of linear partial differential operators with generalized functions as coefficients (2003) — 77 citations
- Encyclopaedia of Mathematics, Supplement III (2002) — 57 citations
- Steinbauer R : Geometric Theory of Generalized Functions with Applications to General Relativity (2001) — 255 citations