Мақола

Some New Classes Ill-Posed Problems of Integral Geometry

A. BegmatovTashkent State Transport University

Zenodo (CERN European Organization for Nuclear Research)repository1997

ABI

Аннотация

This preprint presents some new classes ill-posed problems of integral geometry. The paper deals with weakly ill-posed problems of integral geometry of Volterra type associated with integration over curves having a singularity at the vertex, as well as over parabolas and paraboloids with weight functions of a special form. A uniqueness theorem is proved, and stability estimates of the solution in spaces of finite smoothness are obtained. Inversion formulas are derived. Preprint No. 40.Russian Academy of Sciences, Siberian Branch, Institute of Mathematics.1997. 30 pages.References: 17.

Мавзулар

Numerical methods in inverse problems Holomorphic and Operator Theory Differential Equations and Boundary Problems

Идентификаторлар

DOI: 10.5281/zenodo.18303483

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