On some classes of inverse problems of recovering a source function

DOI10.3103/S1055134417020031zbMath1399.35366OpenAlexW2619993727MaRDI QIDQ5374051

E. I. Safonov, Sergei G. Pyatkov

Publication date: 6 April 2018

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134417020031

zbMATH Keywords

existenceinverse probleminitial-boundary value problemuniquenesswell-posednesssecond order parabolic equationunconditional solvability

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30)

Cites Work

• Identifiability and identification of a pollution source in a river by using a semi-discretized model
• Nonautonomous parabolic equations involving measures
• Unique continuation for some evolution equations
• Identification of source terms in nonlinear convection diffusion phenomena by sinc collocation-interpolation methods
• The boundary-element method for the determination of a heat source dependent on one variable
• On some classes of inverse problems for parabolic equations
• On some classes of coefficient inverse problems for parabolic systems of equations
• Estimating Localized Sources of Diffusion Fields Using Spatiotemporal Sensor Measurements
• On an inverse source problem for the heat equation. Application to a pollution detection problem
• Identification of point sources in two-dimensional advection-diffusion-reaction equation: application to pollution sources in a river. Stationary case
• Point source identification in nonlinear advection–diffusion–reaction systems
• Inverse source problem in an advection–dispersion–reaction system: application to water pollution
• Identification of a point source in a linear advection–dispersion–reaction equation: application to a pollution source problem
• ELLIPTIC PROBLEMS WITH A PARAMETER AND PARABOLIC PROBLEMS OF GENERAL TYPE
• Équations différentielles abstraites
• Inverse problems for partial differential equations
• Inverse problems for partial differential equations
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