Abstract
AbstractWe reconstruct the potential q(x) for the generalized heat equation of the form $$u_{t}-b(x)u_{xx}-a(x)u_{x}-q(x)u=0$$
u
t
-
b
(
x
)
u
xx
-
a
(
x
)
u
x
-
q
(
x
)
u
=
0
under general conditions, and by means of a Carleman’s estimate.
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
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