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Inverse Parabolic Problems

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Inverse Problems for Partial Differential Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 127 ))

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Abstract

In this chapter, we consider the second-order parabolic equation

$$\displaystyle{ a_{0}\partial _{t}u -\mathrm{div}(a\nabla u) + b \cdot \nabla u + cu = f\,\mathrm{in}\,Q = \varOmega \times (0,T), }$$

where Ω is a bounded domain the space \(\mathbb{R}^{n}\) with the C 2-smooth boundary ∂ Ω.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Wichita State University, Wichita, KS, USA

    Victor Isakov

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  1. Victor Isakov
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Isakov, V. (2017). Inverse Parabolic Problems. In: Inverse Problems for Partial Differential Equations. Applied Mathematical Sciences, vol 127 . Springer, Cham. https://doi.org/10.1007/978-3-319-51658-5_9

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