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Concept
Elliptic Operator
An
elliptic operator
is a type of
differential operator
that generalizes the notion of a Laplacian and is characterized by its symbol being invertible everywhere except possibly at infinity. These operators are crucial in the study of
partial differential equations
as they often yield
well-posed problems
, leading to
smooth solutions
under appropriate
boundary conditions
.
Relevant Fields:
Differential and Integral Equations 88%
Computational Mathematics 13%
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