On ill-posedness measures and space change in Sobolev scales

DOI10.4171/ZAA/800zbMath0896.65043OpenAlexW2068678104MaRDI QIDQ1381111

Ulrich Tautenhahn, Bernd Hofmann

Publication date: 22 September 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/800

zbMATH Keywords

ill-posed problemscompact linear operatorsHilbert scaleSobolev scaleembedding operatorsill-posedness measuresinterval of ill-posedness

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators defined by compactness properties (47B07) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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