On a сlass of inverse problems for a quasilinear parabolic equation with a local overdetermination

N. L. Gol'dman

Lomonosov Moscow State University, Research Computing Center

Abstract: A class of inverse problems devoted to the determination of an unknown right-hand side in a general quasilinear parabolic equation with additional information given at a certain interior point of a domain is studied. The problem of uniqueness of the solution in a Hölder space and some questions of construction of stable approximate solutions for this class of ill-posed problems are discussed.

Keywords: inverse problems, quasilinear parabolic equation, ill-posed problems, overdetermination conditions.

UDC: 517.958