Inverse parabolic problems
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Authors
Isakov, Victor
Advisors
Issue Date
2017
Type
Book chapter
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Citation
Isakov V. (2017) Chapter 9. Inverse Parabolic Problems. In: Inverse Problems for Partial Differential Equations. Applied Mathematical Sciences, vol 127. Springer, Cham, pp.309-354.
Abstract
In this chapter, we consider the second-order parabolic equation (9.0.1) a0∂tu − div(a∇u) + b · ∇u + cu = f in Q = Ω × (0, T), where Ω is a bounded domain the space Rn with the C2-smooth boundary ∂Ω. In Section 9.6, we study the nonlinear equation (9.0.1n) a0(x, u)∂tu − Δu + c(x, t, u) = 0 in Q.
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Publisher
Springer
Journal
Book Title
Series
Applied Mathematical Sciences;v.127