Pseudodifferential operators with generalized symbols and regularity theory

By Claudia Garetto, Todor Gramchev, Michael Oberguggenberger. 2005

62 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/44ae5d0b3083c69828d33761223f4c9f89baaace

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1. Claudia Garetto
2. G. Hörmann
3. Todor Gramchev
4. Michael Oberguggenberger

Citations in the corpus

• Topological Structures in Colombeau Algebras: Investigation of the Duals of ${\cal G}_{{\rm c}}(\Omega)$, ${\cal G}(\Omega)$ and ${\cal G}_{{\cal S}}({\Bbb R}^n)$ (2005, background): “G�(R n ) and L(G S (R n ), e) to pseudodifferential operators with global generalized symbols has been considered in [ 6, Chapter 5 ] for the first time, leading to results of G ∞”
• Pseudo-Differential Operators in Algebras of Generalized Functions and Global Hypoellipticity (2005, background): “In particular we are interested in the development of the pseudo-differential calculus in the frame of generalized functions and tempered generalized functions [ 9 , 13, 14, 16, 17].”