The determination of a parabolic equation from initial and final data Academic Article uri icon


  • It is shown that an unknown, spatially-dependent coefficient a ( x ) a(x) in the parabolic equation u t u + a ( x ) u = 0 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 ) a(x) on the data is examined.

published proceedings

  • Proceedings of the American Mathematical Society

altmetric score

  • 2.5

author list (cited authors)

  • Rundell, W.

citation count

  • 51

complete list of authors

  • Rundell, William

publication date

  • January 1987