An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition
Copyright policy )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 © 2014 John Wiley & Sons, Ltd.
- University of Kocaeli Turkey
- Kadir Has University Turkey
Inverse problems for PDEs, Quasilinear parabolic equations, quasilinear parabolic equation, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Finite difference method, Quasilinear parabolic equation, Inverse problem, Finite difference methods for initial value and initial-boundary value problems involving PDEs, integral overdetermination condition, inverse problem, Periodic boundary conditions, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Integral overdetermination condition, periodic boundary conditions, finite difference method
Inverse problems for PDEs, Quasilinear parabolic equations, quasilinear parabolic equation, Existence problems for PDEs: global existence, local existence, non-existence, Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness, Finite difference method, Quasilinear parabolic equation, Inverse problem, Finite difference methods for initial value and initial-boundary value problems involving PDEs, integral overdetermination condition, inverse problem, Periodic boundary conditions, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Integral overdetermination condition, periodic boundary conditions, finite difference method
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