Some Aspects of Uniqueness for Solutions to Boundary Problems
- 1 June 1962
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 13 (1) , 25-35
- https://doi.org/10.1017/s0013091500014450
Abstract
The solution to the boundary problemwhere r is the distance of point (x, y) from the origin, and h is a given function the arc length s along the unit circle r = 1, is not necessarily unique, Boggio (1), Weinstein (2), Stoker (3), Martin (4). Indeed if h is a positive integer m is known that the only solutions regular analytic for r≦1 arewhere r, θ denote polar coordinates and A, B are arbitrary constants.Keywords
This publication has 3 references indexed in Scilit:
- Water WavesPublished by Wiley ,1992
- Linear and nonlinear boundary problems for harmonic functionsProceedings of the American Mathematical Society, 1959
- Non-linear problems in the theory of fluid motion with free boundariesPublished by American Mathematical Society (AMS) ,1949