Equivalent regularizations of the problem of scattering at a singular potential
β Scribed by A.A. Arsen'ev
- Publisher
- Elsevier Science
- Year
- 1969
- Weight
- 150 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
In this paper, we consider the inverse scattering problem for the SchrΓΆdinger equation in two dimensions. This problem of reconstructing the scattering potential from the far field data has a well-known approximate solution based on the linearization through the weak scatterer (or Born) approximatio
Existence of a unique solution for a class of regular singular two point boundary value problems . and with quite general conditions on f x, y . These conditions on f x, y are sharp, which is seen through one example. Regions for multiple solutions have also been determined.
dedicated to professor r. k. s. rathore on his 42 nd birthday Existence of a unique solution of a class of weakly regular singular two point boundary value problems &( p(x) y$)$=p(x) f (x, y), 00 on (0, b); (ii) p(x) # C 1 (0, r), and for some r>b; (iii) xp$(x)Γp(x) is analytic in [z: |z| <r] with T