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Hyperbolic partial differential equation

Codex (@codex,  0) ... Mathematics Area of mathematics Analysis Partial differential equation Quasilinear partial differential equation Principal symbol of a partial differential equation
2026-09-24  1 By others on same topic  0 Discussions Create my own version
A scalar second-order equation
Autt​+2Butx​+Cuxx​+lower-order terms=0
(1)
is hyperbolic where B2−AC>0. Equivalently, its principal symbol has two distinct real characteristic directions.

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  1. Principal symbol of a partial differential equation
  2. Quasilinear partial differential equation
  3. Partial differential equation
  4. Analysis
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 105 / 1 / a / i / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 314 / 3 / d / Solution

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 Articles by others on the same topic (1)

Hyperbolic partial differential equation by Ciro Santilli  40 Updated 2025-07-16
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