Solving Poisson's equation with interior conditions

Journal of Mathematical Physics

Volumn 39, Issue 12, 1998, Pages 6720-6729

  McCarthy, J E ^a   Backhaus, E Yu ^b   Fajans, J ^b  

^a WASHINGTON UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032349273     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532653     Document Type: Article

References (11)

1. J. Notte, A. J. Peurrung, J. Fajans, R. Chu, and J. Wurtele, Phys. Rev. Lett. 69, 3056 (1992).
2. R. Chu, J. S. Wurtele, J. Notte, A. J. Peurrung, and J. Fajans, Phys. Fluids B 5, 2378 (1993).
3. J. Fajans, E. Yu. Backhaus, and J. E. McCarthy, "Equilibrium of highly asymmetric non-neutral plasmas," to appear in Phys. Plasmas.
4. This assumption is true provided that the bounce motion along the magnetic field can be ignored, a condition which is frequently met.
5. E. Yu. Backhaus, J. Fajans, and J. S. Wurtele, "Stability of highly assymetric non-neutral plasmas," to appear in Phys. Plasmas.
6. R. Greene and S. Krantz, Function Theory of One Complex Variable (Wiley, New York, 1997).
7. H. Shapiro, The Schwarz Function and its Generalization to Higher Dimensions, University of Arkansas Lecture Notes (Wiley, New York, 1992).
8. P. Ebenfelt, Compl. Var. 20, 75 (1992).
9. P. Ebenfelt, Compl. Var. 22, 69 (1993).
10. C. Pommerenke, Boundary Behaviour of Conformal Maps (Springer, Berlin, 1992).
11. J. B. Garnett, Bounded Analytic Functions (Academic, New York, 1981).