The determination of a parabolic equation from initial and final data

Author:
William Rundell

Journal:
Proc. Amer. Math. Soc. **99** (1987), 637-642

MSC:
Primary 35R30; Secondary 35K05

DOI:
https://doi.org/10.1090/S0002-9939-1987-0877031-4

MathSciNet review:
877031

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Abstract: It is shown that an unknown, spatially-dependent coefficient in the parabolic equation can be determined from a knowledge of *both initial and* final data. An existence and uniqueness theorem is given and the continuous dependence of the function on the data is examined.

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DOI:
https://doi.org/10.1090/S0002-9939-1987-0877031-4

Article copyright:
© Copyright 1987
American Mathematical Society