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Parabolic partial differential equation
Ciro Santilli
(
@cirosantilli,
40
)
...
Mathematics
Area of mathematics
Calculus
Differential equation
Partial differential equation
Classification of second order partial differential equations into elliptic, parabolic and hyperbolic
Updated
2025-07-16
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Classification of second order partial differential equations into elliptic, parabolic and hyperbolic
Partial differential equation
Differential equation
Calculus
Area of mathematics
Mathematics
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Dirichlet boundary condition
Neumann boundary condition
Which boundary conditions lead to existence and uniqueness of a second order PDE
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Parabolic partial differential equation
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2026-10-25
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In two independent variables,
a
scalar
second
-order
partial differential equation
with
a
nonzero rank-one
principal symbol
. Its two characteristic directions coincide. The
heat equation
is the basic example.
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