Full entry |
PDF
(1.8 MB)
Feedback

reduced boundary; interior normal in Federer’s sense; Neumann operator; compact operator; Hausdorff measure

References:

[AKK] T. S. Angell R. E. Kleinman J. Král: **Layer potentials on boundaries with corners and edges**. Casopis pest. mat. 113 (1988), 387-402. MR 0981880

[D] M. Dont E. Dontová: **Invariance of the Fredholm radius of an operator in potential theory**. Časopis pěst. mat. 112 (1987), 269-283. MR 0905974

[F1] H. Federer: **A note on the Gauss-Green theorem**. Proc. Amer. Math. Soc. 9(1958), 447-451. DOI 10.1090/S0002-9939-1958-0095245-2 | MR 0095245 | Zbl 0087.27302

[F3] H. Federer: **The Gauss-Green theorem**. Trans. Amer. Math. Soc. 58 (1945), 44-76. DOI 10.1090/S0002-9947-1945-0013786-6 | MR 0013786 | Zbl 0060.14102

[FF] H. Federer W. H. Fleming: **Normal and integral currents**. Ann. of Math. 72 (1960), 458-520. DOI 10.2307/1970227 | MR 0123260

[K1] J. Král: **Integral Operators in Potential Theory**. Lecture Notes in Mathematics, vol. 823, Springer Verlag, Berlin, 1980. MR 0590244

[K2] J. Král: **Flows of heat and the Fourier problem**. Czechoslovak Math. J. 20 (1970), 556-597. MR 0271554

[K3] J. Král: **Note on sets whose characteristic functions have signed measures for theorem partial derivatives**. Časopis pěst. mat. 86 (1961), 178-194. (In Czech.) MR 0136697

[K4] J. Král: **The Fredholm method in potential theory**. Trans. Amer. Math. Soc. 125 (1966), 511-547. DOI 10.2307/1994580 | MR 0209503

[K5] J. Král: **The Fredholm radius of an operator in potential theory**. Czechoslovak Math. J. 15 (90) (1965), 565-588. MR 0190363

[KW] J. Král W. Wendland: **Some examples concerning applicability of the Fredholm-Radon method in potential theory**. Aplikace Matematiky 31 (1986), 293-308. MR 0854323

[ME1] D. Medková: **Invariance of the Fredholm radius of the Neumann operator**. Časopis pěst. mat. 115 (1990), 147-464. MR 1054002

[ME2] D. Medková: **On the convergence of Neumann series for noncompact operators**. Czechoslovak Math. J. 41 (116) (1991), 3112-316. MR 1105448

[S] N. Suzuki: **On the convergence of Neumann series in Banach space**. Math. Ann. 220 (1976), 143-146. DOI 10.1007/BF01351698 | MR 0412855 | Zbl 0304.47016