Solution of the Neumann problem for the Laplace equation

 Access to full text

 Full (PDF)

1. Layer potentials on boundaries with corners and edges, Čas. pěst. mat. 113 (1988), 387–402. (1988) MR0981880
2. Potential theory and function theory for irregular regions, Seminars in Mathematics, V. A. Steklov Mathematical Institute, Leningrad, 1969. (1969) MR0240284
3. Geometric Measure Theory, Springer-Verlag Berlin, Heidelberg, New York, 1969. (1969) Zbl0176.00801MR0257325
4. Some remarks on topologically equivalent norms, Izvestija Mold. Fil. Akad. Nauk SSSR 10(76) (1960), 91–95. (1960) 
5. On the Fredholm radius for operators of the double layer potential type on piecewise smooth boundaries, Vest. Leningrad. Univ. 19(4) (1986), 60–64. (1986) MR0880678
6. Invertibility of boundary integral operators of elasticity on surfaces with conic points, Report LiTH-MAT-R-91-50, Linköping Univ., Sweden. 
7. Solvability of a boundary integral equation on a polyhedron, Report LiTH-MAT-R-91-50, Linköping Univ., Sweden. 
8. Funktionalanalysis, Teubner, Stuttgart, 1975. (1975) Zbl0309.47001MR0482021
9. Integral Operators in Potential Theory. Lecture Notes in Mathematics 823, Springer-Verlag, Berlin, 1980, pp. . (1980) MR0590244
10. Some examples concerning applicability of the Fredholm-Radon method in potential theory, Aplikace matematiky 31 (1986), 293–308. (1986) MR0854323
11. Fundamentals of modern potential theory, Izdat. Nauka, Moscow, 1966. (Russian) (1966) MR0214795
12. Boundary integral equations. Sovremennyje problemy matematiki, fundamental’nyje napravlenija, 27, Viniti, Moskva, 1988. (Russian) (1988) 
13. On the convergence of Neumann series for noncompact operator, Czechoslovak Math. J. 41(116) (1991), 312–316. (1991) MR1105448
14. 10.1023/A:1022818618177, Czechoslovak Math. J. 47(122) (1997), 651–680. (1997) MR1479311DOI10.1023/A:1022818618177
15. The third boundary value problem in potential theory, Czechoslovak Math. J. 22(97) (1972), 554–580. (1972) Zbl0242.31007MR0313528
16. Smooth surfaces with infinite cyclic variation, Čas. pěst. mat. 96 (1971), 86–101. (Czech) (1971) Zbl0204.08002MR0284553
17. Untersuchungen über das logarithmische und Newtonsche Potential, Teubner Verlag, Leipzig, 1877. (1877) 
18. Zur Theorie des logarithmischen und des Newtonschen Potentials, Berichte über die Verhandlungen der Königlich Sachsischen Gesellschaft der Wissenschaften zu Leipzig 22 (1870), 49–56, 264–321. (1870) 
19. Über die Methode des arithmetischen Mittels, Hirzel, Leipzig, 1887 (erste Abhandlung), 1888 (zweite Abhandlung). (1887 (erste Abhandlung), 1888 (zweite Abhandlung)) 
20. Potentialtheoretische Untersuchungen, B. G. Teubner, Leipzig, 1911. (1911) 
21. Über Randwertaufgaben beim logarithmischen Potential, Sitzber. Akad. Wiss. Wien 128 (1919), 1123–1167. (1919) 
22. ARRAY(0x9436470), Birkhäuser, Vienna, 1987. (1987) 
23. 10.1080/00036819208840093, The panel method. Applicable Analysis 45 (1992), 1–4, 135–177. (1992) MR1293594DOI10.1080/00036819208840093
24. 10.1080/00036819508840313, Applicable Analysis 56 (1995), 109–115. (1995) Zbl0921.31004MR1378015DOI10.1080/00036819508840313
25. Leçons d’analyse fonctionnelles, Budapest, 1952. (1952) 
26. Principles of Functional Analysis, Academic Press, 1973. (1973) MR0445263
27. Theorie des distributions, Hermann, Paris, 1950. (1950) Zbl0037.07301MR0209834
28. Functional Analysis, Springer-Verlag, Berlin, 1965. (1965) Zbl0126.11504

1. Dagmar Medková, The Neumann problem for the Laplace equation on general domains
2. Dagmar Medková, The boundary-value problems for Laplace equation and domains with nonsmooth boundary
3. Dagmar Medková, Continuous extendibility of solutions of the Neumann problem for the Laplace equation
4. Dagmar Medková, Continuous extendibility of solutions of the third problem for the Laplace equation
5. Dagmar Medková, Boundedness of the solution of the third problem for the Laplace equation
6. Dagmar Medková, Solution of the Dirichlet problem for the Laplace equation