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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6410 • ODE

Fall 2019 • Question 9

Question

Math 6410 • ODE Fall 2019 • Question 9

Explain the fundamental difference of wave equations in 1D, 2D, and 3D: In 3D — unlike 1D and 2D — any signal (with finite support) propagates leaving no trace behind it.

Raw LaTeX

Explain the fundamental difference of wave equations in 1D, 2D, and 3D: In 3D ---
unlike 1D and 2D --- any signal (with finite support) propagates leaving no trace
behind it.

Topic Tags

Fundamental Solutions Wave Equation and Energy Methods