An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity and consistency conditions on the input data the existence uniqueness and continuous dependence upon the data of the solution are shown. Some considerations on the numerical solution for this inverse problem are presented with an example. Copyright (c) 2014 John Wiley & Sons Ltd.
SourceMathematical Methods in The Applied Sciences
Keywordsquasilinear parabolic equation
periodic boundary conditions
finite difference method
integral overdetermination condition