Connecting Classical and Abstract Theory of Friedrichs Systems via Trace Operator | Zendy

Nenad Antonić | Zendy; Krešimir Burazin | Zendy; Marko Vrdoljak | Zendy

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Connecting Classical and Abstract Theory of Friedrichs Systems via Trace Operator

Author(s) -

Nenad Antonić,

Krešimir Burazin,

Marko Vrdoljak

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/469795

Subject(s) - trace (psycholinguistics) , operator (biology) , boundary (topology) , mathematics , elliptic operator , mathematical analysis , chemistry , philosophy , linguistics , biochemistry , repressor , transcription factor , gene

Based on recent progress in understanding the abstract setting for Friedrichs symmetric positive systems by Ern et al. (2007), as well as Antonic and Burazin (2010), we continue our efforts to relate these results to the classical Friedrichs theory. Following the approach via the trace operator, we extend the results of Antonic and Burazin (2011) to situations where the important boundary field does not consist only of projections, allowing the treatment of hyperbolic equations, besides the elliptic ones.

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