Continuation of solutions to elliptic and parabolic equations on hyperplanes and application to inverse source problems

DOI10.1088/1361-6420/ac7410zbMath1494.35181OpenAlexW4281624584MaRDI QIDQ5089398

Jin Cheng, Masahiro Yamamoto

Publication date: 19 July 2022

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ac7410

zbMATH Keywords

conditional stabilityinverse source problemscontinuation on the hyperplanes

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60) Second-order parabolic equations (35K10)

Cites Work

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• Carleman estimates for parabolic equations and applications
• Unique continuation on a line for harmonic functions
• Stability in line unique continuation of harmonic functions: general dimensions
• Unique continuation along curves and hypersurfaces for second order anisotropic hyperbolic systems with real analytic coefficients
• UNIQUENESS ALONG A LINE FOR AN INVERSE WAVE SOURCE PROBLEM
• Inverse problems for partial differential equations

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