AN INVERSE PROBLEM FOR AN ELLIPTIC PARTIAL-DIFFERENTIAL EQUATION Academic Article uri icon

abstract

  • We demonstrate uniqueness and local existence of the unknown coefficient a = a(x) in the elliptic equation u - a(x) u = 0 in the quarter plane x > 0, y > 0 which is subject to the boundary conditions u(0, y) = f{hook}(y), ux(0, y) = g(y), and u(x, 0) = h(x). The proof consists of the derivation of an integral equation for a(x) utilizing transformations of Gelfand-Levitan type. 1987.

published proceedings

  • JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

author list (cited authors)

  • CANNON, J. R., & RUNDELL, W.

citation count

  • 16

complete list of authors

  • CANNON, JR||RUNDELL, W

publication date

  • September 1987