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https://doi.org/10.1007/978-3-319-51658-5Inverse Problems; Ill-posed Problems; Carleman Estimates; Uniqueness and Stability of the Continuation;挫败 发表于 2025-3-24 12:05:55
Uniqueness and Stability in the Cauchy Problem,fferential equations. One of the basic tools is Carleman-type estimates. In Section . we describe the results for a simplest problem of this kind (the backward parabolic equation), where a choice of the weight function in Carleman estimates is obvious, and the method is equivalent to that of the log责怪 发表于 2025-3-24 15:47:37
Elliptic Equations: Single Boundary Measurements, . with bounded and measurable coefficients . (symmetric real-valued (. × .) matrix) and complex-valued . and . in ..(.). Another assumption is that . is an elliptic operator; i.e., there is .. > 0 such that .(.). ⋅ . ≥ .. | . | . for any vector . and any . ∈ .. Unless specified otherwise, we assume轮流 发表于 2025-3-24 22:23:50
Integral Geometry and Tomography,blems are of importance in medical applications (tomography), and they are quite useful for dealing with inverse problems in hyperbolic differential equations (integrals of unknown coefficients over ellipsoids or lines can be obtained from the first terms of the asymptotic expansion of rapidly oscilPHIL 发表于 2025-3-25 03:11:55
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