Determination of a diffusion coefficient in a quasilinear parabolic equation
Copyright policy )Determination of a diffusion coefficient in a quasilinear parabolic equation
Abstract This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural regularity and consistency conditions on the input data the existence, uniqueness and continuously dependence upon the data of the solution are shown. Finally, some numerical experiments are presented.
- Kadir Has University Turkey
Nonlocal boundary condition, Inverse problems for PDEs, Quasilinear parabolic equations, heat equation, Heat equation, Overdetermined systems of PDEs with variable coefficients, 35k59, 35r30, Time-dependent diffusion coefficient, Inverse problem, integral overdetermination condition, QA1-939, inverse problem, time-dependent diffusion coefficient, Integral overdetermination condition, Mathematics, nonlocal boundary condition
Nonlocal boundary condition, Inverse problems for PDEs, Quasilinear parabolic equations, heat equation, Heat equation, Overdetermined systems of PDEs with variable coefficients, 35k59, 35r30, Time-dependent diffusion coefficient, Inverse problem, integral overdetermination condition, QA1-939, inverse problem, time-dependent diffusion coefficient, Integral overdetermination condition, Mathematics, nonlocal boundary condition
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