Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition

作者：Baglan Irem^*

来源：Inverse Problems in Science and Engineering, 2015, 23(5): 884-900.

DOI：10.1080/17415977.2014.947479

• integral overdetermination condition
• periodic boundary conditions
• inverse problem
• quasilinear parabolic equation
• time-dependent coefficient

In this paper, we consider the problem of determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional quasilinear heat equation with periodic boundary and integral overdetermination conditions. We establish conditions for the existence, uniqueness and continuous dependent of a classical solution of the problem under considerations. We present some results on the numerical solution with two examples.

• 出版日期2015-7-4