The determination of a parabolic equation from initial and final data
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- by William Rundell
- Proc. Amer. Math. Soc. 99 (1987), 637-642
- DOI: https://doi.org/10.1090/S0002-9939-1987-0877031-4
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Abstract:
It is shown that an unknown, spatially-dependent coefficient $a(x)$ in the parabolic equation $ut - \Delta u + a(x)u = 0$ 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 $a(x)$ on the data is examined.References
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Bibliographic Information
- © Copyright 1987 American Mathematical Society
- 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