Abstract | ||
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In this article we introduce a technique that derives from the existence and uniqueness of solutions to a simple hyperbolic partial differential equation (p.d.e.) the existence and uniqueness of solutions to hyperbolic and parabolic p.d.e.’s. Among others, we show that starting with an impedance passive system associated to the undamped wave equation, we can obtain an impedance passive system associated to the heat conduction equation. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1016/j.sysconle.2016.02.002 | Systems & Control Letters |
Keywords | Field | DocType |
Infinite-dimensional systems theory,Partial differential equation,Impedance passive | Parabolic partial differential equation,Differential equation,Mathematical optimization,Mathematical analysis,First-order partial differential equation,FTCS scheme,Heat equation,Elliptic partial differential equation,Partial differential equation,Mathematics,Hyperbolic partial differential equation | Journal |
Volume | ISSN | Citations |
91 | 0167-6911 | 1 |
PageRank | References | Authors |
0.36 | 3 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hans Zwart | 1 | 53 | 10.37 |
Yann Le Gorrec | 2 | 43 | 11.22 |
Bernhard Maschke | 3 | 518 | 83.42 |