Identification of a Quasilinear Parabolic Equation from Final Data †

  title={Identification of a Quasilinear Parabolic Equation from Final Data †},
  author={Luis Antonio Fern{\'a}ndez and Cecilia Pola},
+ c(y) = u in Ω× (0, T ), assuming that the solution of an associated boundary value problem is known at the terminal time, y(x, T ), over a (probably small) subset of Ω, for each source term u. Our work can be divided into two parts. Firstly, the uniqueness of A,~b and c is proved under appropriate assumptions. Secondly, we consider a finite-dimensional optimization problem that allows for the reconstruction of the nonlinearities. Some numerical results in the one-dimensional case are… CONTINUE READING


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Linear and Quasilinear Equations of Parabolic Type

  • O. A. Ladyzhenskaya, V. A. Solonnikov, N. N. Ural’tseva
  • 1968
Highly Influential
15 Excerpts

Elliptic Partial Differential Equations of Second Order

  • D. Gilbarg, N. S. Trudinger
  • 1977
Highly Influential
1 Excerpt

Optimal Control of Systems Governed by Partial Differential Equations

  • J. L. Lions
  • 1971
Highly Influential
4 Excerpts

Hölder regularity in variational parabolic non-homogeneous equations

  • A. Lunardi, V. Vespri
  • J. Diff. Eqns., Vol.94,
  • 1991
2 Excerpts

Estimation Techniques for Distributed Parameter Systems. — Boston: Birkhäuser

  • H. T. Banks, K. Kunisch
  • 1989
1 Excerpt

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