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Hyperbolic partial differential equation
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Mathematics
Area of mathematics
Analysis
Partial differential equation
Quasilinear partial differential equation
Principal symbol of a partial differential equation
2026-09-24
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A
scalar
second
-order
equation
A
u
tt
+
2
B
u
t
x
+
C
u
xx
+
lower-order terms
=
0
(1)
is hyperbolic where
B
2
−
A
C
>
0
. Equivalently, its
principal symbol
has two distinct real characteristic directions.
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(7)
Principal symbol of a partial differential equation
Quasilinear partial differential equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
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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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Hyperbolic partial differential equation
by
Ciro Santilli
40
Updated
2025-07-16
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