The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions

DOI10.1186/1029-242X-2013-108zbMath1292.35328WikidataQ59293425 ScholiaQ59293425MaRDI QIDQ2636699

Fatma Kanca

Publication date: 31 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30)

Related Items (9)

The Fourier spectral method for determining a heat capacity coefficient in a parabolic equation ⋮ A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ On an inverse problem of reconstructing a heat conduction process from nonlocal data ⋮ On approximation of coefficient inverse problems for differential equations in functional spaces ⋮ An inverse problem of finding a time-dependent coefficient in a fractional diffusion equation ⋮ Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems ⋮ An inverse problem of finding the time-dependent diffusion coefficient from an integral condition ⋮ An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition ⋮ Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition

Cites Work

• Unnamed Item
• Determination of source parameter in parabolic equations
• The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data
• An inverse coefficient problem for a parabolic equation in the case of nonlocal boundary and overdetermination conditions
• Determination of a control parameter in a parabolic partial differential equation
• Inverse problem for a parabolic equation with space-periodic boundary conditions by a Carleman estimate
• Simultaneous determination of unknown coefficients in a parabolic equation

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