General theory of the ill-posed Cauchy problem
From MaRDI portal
Publication:4853844
DOI10.1515/jiip.1995.3.2.149zbMath0835.35148OpenAlexW2038770874MaRDI QIDQ4853844
Publication date: 5 November 1995
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip.1995.3.2.149
Ill-posed problems for PDEs (35R25) Groups and semigroups of linear operators (47D03) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)
Related Items (19)
Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups ⋮ Logarithmic well-posed approximation of the backward heat equation in Banach space ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Properties of Lions's \(d\)-semigroups and generalized well-posedness of the Cauchy problem ⋮ Ill-posed problems associated with sectorial operators in Banach space ⋮ \(C\)-regularized solutions of ill-posed problems defined by strong strip-type operators ⋮ Convergence rates for solutions of inhomogeneous ill-posed problems in Banach space with sufficiently smooth data ⋮ Degenerate distribution semigroups and well-posedness of the cauchy problem ⋮ The method of integrated semigroups for Cauchy problems in Banach spaces ⋮ Well-posedness of differential-operator problems. I: The Cauchy problem in spaces of distributions ⋮ Well-posedness of differential-operator problems. II: The Cauchy problem for complete second-order equations in Banach spaces ⋮ The ``parking problem for segments of different length ⋮ Rates of clustering in the Strassen law for random polygons ⋮ Approximation of convolutions by accompanying laws under the existence of moments of low orders ⋮ Random processes with strong averaging condition ⋮ Asymptotic behavior of trajectories of stationary Banach-valued Gaussian fields. II ⋮ Large deviations of sums of independent random variables from the domain of attraction of a stable law ⋮ A uniformly distributed hitting position for a two-dimensional anisotropic diffusion process: The limit normed curve ⋮ Estimates for solutions of nonautonomous semilinear ill-posed problems
This page was built for publication: General theory of the ill-posed Cauchy problem