Titlebook: Improperly Posed Problems and Their Numerical Treatment; Conference Held at t G. Hämmerlin,K.-H. Hoffmann Book 1983 Springer Basel AG 1983

Preamble

有机体

commune

Analytic and Numerical Methods in the Study of the Inverse Scattering Problem for Acoustic Waves,literature on inverse scattering proplems is enormous and considers a wide variety of problems, it is first necessary to be more explicit as to what inverse scattering problem we are talking about. Here we are concerned with the problem of determining the shape of a two dimensional acoustically soft

Obverse

Restenosis

On a Constrained Fourier Extrapolation Method for Numerical Deconvolution,nd DOVI(1981), BUTLER et al(1981), RUTMAN and CABRAL (1982), WAHBA(1982), and DAVIES et al(1983). It has become apparent that the need for constraint information depends on the . of ill-posedness of the problem, as characterized by the decay-rate of the kernel spectrum and also the smoothness of the

scotoma

The Finite Element Method for a Class of Improperly Posed Integral Equations,ary integral equations of the first kind with logarithmic singularities. This paper concerns in particular the stability analysis of the finite element method for treating such a class of integral equations. It is shown that an optimal choice of the mesh size can be made so that one may obtain an as

漫不经心

The Identification of Kinetical Parameters in Medical Receptor Analysis,y (cf. [2, 3] and the references cited therein). Receptors are intracellular proteins which bind to corresponding hormones with extremely high affinity. A lack of or an insufficient amount of receptor protein is characteristic for cell degenerations which typically appear in cancer tissue. Since the

tic-douloureux

Regularizing the Cauchy Problem for the Heat Equation by Sign Restrictions,ion, i.e. the behaviour of the module of continuity is investigated. Especially for sign restrictions continuous dependence of Hölder type in the interior is shown. This sharpens a result of Pucci (1959), who did not succeed in estimating the module of continuity. This estimate leads to some conject

Isthmus

侵略主义

On the Order of Regularization Methods,pace . of distributions in H.(ℝ.) with support in Ω. The norm in H. is denoted by ∥ · ∥.. We assume that there is a c > O such that for all f ∈ L.(Ω).for some a > O, i.e. the norms ∥f∥., ∥Af∥ are equivalent. It follows that the equation Af = g is ill-posed.