𝒢- and $𝒢^{∞}$-hypoellipticity of partial differential operators with constant Colombeau coefficients

• Autorzy: Claudia Garetto
• Języki publikacji: EN

Abstrakty

EN

We provide a deep investigation of the notions of 𝒢- and $𝒢^∞$-hypoellipticity for partial differential operators with constant Colombeau coefficients. This involves generalized polynomials and fundamental solutions in the dual of a Colombeau algebra. Sufficient conditions and necessary conditions for 𝒢- and $𝒢^∞$-hypoellipticity are given

Kategorie tematyczne

• 46F30: Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.)
• 35H99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2010
• Tom: 88
• Numer: 1
• Strony: 111-131

Daty

wydano

2010

Twórcy

autor

Claudia Garetto

• Institut für Grundlagen der Bauingenieurwissenschaften, Leopold-Franzens-Universität Innsbruck, Technikerstr. 13, A 6020 Innsbruck, Austria

Identyfikatory

DOI

10.4064/bc88-0-9