Compare the properties of the solutions of the wave, the heat and the po- tential equation. Discuss what kind of problems to pose, characteristics, whether initial and boundary data becomes smoother, propagation speed, etc. Discuss which initial or boundary value problems are well-posed, i.e., existence, uniqueness and stability.
Compare the properties of the solutions of the wave, the heat and the po- tential equation. Discuss what kind of problems to pose, characteristics, whether initial and boundary data becomes smoother, propagation speed, etc. Discuss which initial or boundary value problems are well-posed, i.e., existence, uniqueness and stability.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Compare the properties of the solutions of the wave, the heat and the po-
tential equation. Discuss what kind of problems to pose, characteristics,
whether initial and boundary data becomes smoother, propagation speed,
etc. Discuss which initial or boundary value problems are well-posed, i.e.,
existence, uniqueness and stability.
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