On a class of inverse problems with Cauchy Data for quasilinear parabolic equations

N. L. Gol'dman

Lomonosov Moscow State University, Research Computing Center

Abstract: The questions of uniqueness in Hölder classes are investigated for inverse problems with overspecified boundary data. These problems are connected with determination of an unknown right-hand side in a general-type quasilinear parabolic equation. The quasi-solution method for construction of stable approximate solutions for this class of ill-posed problems is substantiated.

Keywords: inverse problems, quasilinear parabolic equations, uniqueness, quasi-solution method, ill-posed problems.

UDC: 517.958