Reflection of polyharmonic functions
โ Scribed by Richard Kraft
- Publisher
- Elsevier Science
- Year
- 1968
- Tongue
- English
- Weight
- 403 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let H 0p, q F ฯฑ, yฯฑ -โฃ -ฯฑ denote the space of those polyhark monic functions f of order k on the unit n-ball for which the function r ยฌ ลฝ . โฃ y 1 rq ลฝ . q ลฝ . 1yr M f ,r belongs to L 0, 1 . Our main result is that, when k G 2 and p ลฝ . โฃ)y 1, the operator f ยฌ Pf, โฌ f , where Pf is the Poisson integ
In the first section of this paper, some non-local boundary value problem for the polyharmonic equation in the plane is considered. This problem consists in determining solution of the polyharmonic equation satisfying some special non-local-type boundary condition on two curves. The existence theore