Inverse parabolic problems

  • Victor Isakov
Part of the Applied Mathematical Sciences book series (AMS, volume 127)

Abstract

In this chapter we consider the second-order parabolic equation
$$ {a_0}{\partial _t}u - div(a\nabla u) + b\nabla u + cu = f{\mkern 1mu} in{\mkern 1mu} Q = \Omega \times (0,{\mkern 1mu} T), $$
(9.0.1)
where Ω is a bounded domain the space ℝ n with the C 2-smooth boundary ∂Ω. In Section 9.5 we study the nonlinear equation
$$ {a_0}(x,u){u_t} - \Delta u + c(x,{\mkern 1mu} t,{\mkern 1mu} u) = 0{\mkern 1mu} in{\mkern 1mu} Q. $$
(9.0.1n)

Keywords

Inverse Problem Elliptic Equation Parabolic Equation Lateral Boundary Parabolic Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Victor Isakov
    • 1
  1. 1.Department of Mathematics and StatisticsThe Wichita State UniversityWichitaUSA

Personalised recommendations