Second-order equations as Friedrichs systems
| Autor: | Marko Vrdoljak, Nenad Antonić, Krešimir Burazin |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Partial differential equation
Basis (linear algebra) Applied Mathematics Mathematical analysis General Engineering Boundary (topology) General Medicine Positive systems symmetric positive system first-order system of partial differential equations boundary operator transonic flow Computational Mathematics Matrix (mathematics) Operator (computer programming) Initial value problem Boundary value problem General Economics Econometrics and Finance Analysis Mathematics |
| Zdroj: | Nonlinear Analysis: Real World Applications. 15:290-305 |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2011.08.031 |
| Popis: | On the basis of the recent progress in understanding the abstract setting for Friedrichs symmetric positive systems by Ern et al. (2007) [8] , as well as Antonic and Burazin (2010) [9] , an attempt is made to relate these results to the classical Friedrichs theory. A particular set of sufficient conditions for a boundary matrix field to define a boundary operator is given, and the applicability of this procedure is shown by examples of boundary/initial value problems for second-order partial differential equations written as symmetric systems. |
| Databáze: | OpenAIRE |
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