Linking hyperbolic and parabolic p.d.e.’s.
Zwart, Hans and Le Gorrec, Yann and Maschke, Bernhard (2011) Linking hyperbolic and parabolic p.d.e.’s. In: 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, 12-15 December 2011, Orlando, FL, USA.
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|Abstract:||In this article we show that from the existence and uniqueness of solutions to a hyperbolic partial differential equation (p.d.e.) existence and uniqueness of parabolic and other hyperbolic p.d.e.’s can be derived. Among others, we show that starting with the (undamped) wave equation we obtain existence and uniqueness of solutions for the uniform elliptic p.d.e.’s and for the Schrodinger equation.|
|Item Type:||Conference or Workshop Item|
Electrical Engineering, Mathematics and Computer Science (EEMCS)
|Link to this item:||http://purl.utwente.nl/publications/79469|
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