An inverse problem for an elliptic partial differential equation

DOI10.1016/0022-247X(87)90044-8zbMath0638.35081WikidataQ115364544 ScholiaQ115364544MaRDI QIDQ1099338

William Rundell, John R. Cannon

Publication date: 1987

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

zbMATH Keywords

existenceinitial-boundary value problemuniquenesscontinuous dependenceVolterra integral equation of second kind

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Volterra integral equations (45D05)

Related Items (11)

Partitions of sets of two-fold triple systems, and their relations to some strongly regular graphs ⋮ Necessary conditions for optimality in the identification of elliptic systems with parameter constraints ⋮ An inverse problem for an elliptic equation in a spherical domain ⋮ Inverse coefficient problems for nonlinear elliptic equations ⋮ Well-posedness of determining the source term of an elliptic equation ⋮ Inverse coefficient problems for nonlinear elliptic variational inequalities ⋮ On the solvability of the inverse problems of parameter recovery in elliptic equations ⋮ Some inverse problems for elliptic equations ⋮ Solution of an inverse coefficient problem for an ordinary differential equation ⋮ Numerical algorithm based on transmutation for solving inverse wave equation ⋮ An inverse problem for an elliptic equation

Cites Work

• Integral operators and reflection principles for parabolic equations in one space variable
• Unique Identification of Eigenvalues and Coefficients in a Parabolic Problem
• On the determination of a differential equation from its spectral function
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