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Titlebook: Inverse Problems; Proceedings of the C John Rozier Cannon,Ulrich Hornung Conference proceedings 1986 Springer Basel AG 1986 differential eq

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发表于 2025-3-21 18:11:57 | 显示全部楼层 |阅读模式
书目名称Inverse Problems
副标题Proceedings of the C
编辑John Rozier Cannon,Ulrich Hornung
视频video
丛书名称International Series of Numerical Mathematics
图书封面Titlebook: Inverse Problems; Proceedings of the C John Rozier Cannon,Ulrich Hornung Conference proceedings 1986 Springer Basel AG 1986 differential eq
描述The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller‘s paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former is called the direct problem, while the latter is called the inverse problem. " "The main sources of inverse problems are science and engineering. Often these problems concern the determination of the properties of some inaccess­ ible regions from observations on the boundary of that region. " Often, inverse problems are not well posed. This increases the difficulty in their analysis and numerical solution. As can be seen from the table of content of this volume,
出版日期Conference proceedings 1986
关键词differential equation; partial differential equation; scattering theory; science
版次1
doihttps://doi.org/10.1007/978-3-0348-7014-6
isbn_softcover978-3-0348-7016-0
isbn_ebook978-3-0348-7014-6Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightSpringer Basel AG 1986
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Determination of a Source Term in a Linear Parabolic Differential Equation with Mixed Boundary Cond φ(x), u(0,t) = σ. (t), and u. (1,t) + ßu(l,t) = σ.(t) from the additional specification of p(0)u. (0,t) = g(t). The problem is not well posed in the sense of Hadamard. Uniqueness is demonstrated. Continuous dependence of u and f upon the data is demonstrated for f twice continously differentiable i
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Inverse Problems for Parabolic Partial Differential Equations,k setting, employing the strategy of judicious choosing of test functions in order to extract detailed information regarding the properties of the weak solution. These notions are illustrated by an example inverse problem.
发表于 2025-3-22 08:34:17 | 显示全部楼层
Three-Dimensional Inverse Scattering,time-independent Schrodinger equation [Δ + h.−V(x)]φ(k,x) = 0 is summarized. It is most easily understood by considering the associated hyperbolic equation [Δ −a. − V(x)]u(t,x) = 0. Particular attention is paid to those aspects of the theory that hold for the wave equation [Δ − n. (x)a.]u(t,x) = 0.
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Parameter Estimation for Distributed Systems Arising in Fluid Flow Problems via Time Series Methodses is very complex. The difficulties arising from multiphase flow problems are even more severe. There are many different sources of error in the modeling process which lead to the distributed parameter systems and their computer solution. Use of time series methods addresses several of these source
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Undetermined Coefficient Problems for Nonlinear Elliptic and Parabolic Equations,in quasilinear second order partial differential equations of the form . defined in a certain region and subject to overposed boundary conditions on its boundary. We include the possibility of a term .. in (1.1) since we intend to consider the case of parabolic as well as elliptic equations. This cl
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,Gel‘fan-Levitan’s theory and related inverse problems,om the differential operator .with . while the former reconstructs (p,h) from ρ. Thus, both theories are not only constructive, but also apply to singular boundary value problems. In the present article, we describe some remarkable structures of Gel‘fand-Levitan’s theory and their applications to th
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