Determination of a source term in a linear parabolic partial differential equation
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Publication:1224251
DOI10.1007/BF01590512zbMath0323.35043WikidataQ115393331 ScholiaQ115393331MaRDI QIDQ1224251
Richard E. Ewing, John R. Cannon
Publication date: 1976
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20)
Related Items (12)
Determination of a term in the right-hand side of parabolic equations ⋮ Detection of time-varying heat sources using an analytic forward model ⋮ Realization theory for symmetric systems ⋮ The Cauchy problem for a linear parabolic partial differential equation ⋮ Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic equations with boundary observations ⋮ Identifying an unknown source term in a heat equation with time-dependent coefficients ⋮ Identifying an unknown source term in a time-space fractional parabolic equation ⋮ A numerical approximation to the solution of an inverse heat conduction problem ⋮ Source reconstruction in a coastal evolution equation ⋮ Recovery of a variable coefficient in a coastal evolution equation ⋮ Conditional stability in determination of force terms of heat equations in a rectangle ⋮ An inverse problem of finding a parameter in a semi-linear heat equation
Cites Work
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- A direct numerical procedure for the Cauchy problem for the heat equation
- A priori estimate for continuation of the solution of the heat equation in the space variable
- A Cauchy problem for the heat equation
- Error Estimates for Some Unstable Continuation Problems
- A Trigonometric Inequality
- Coefficient Estimates for Lacunary Power Series and Dirichlet Series. I
- Determination of an Unknown Heat Source from Overspecified Boundary Data
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