Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 105 / 1 / b / iv

Table of contents
- Solution iv

Solution

The principal symbol is

p (τ, ξ) = τ^{2} - (1 + u^{2}) ∣ ξ ∣^{2} .

Its value on

d t

is

1

, independently of the data, so the initial plane is non-characteristic everywhere.

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