Asymptotic behaviour of the electric field near the singular points of the conductor surface
Fichera, Gaetano
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 60 (1976), p. 13-20 / Harvested from Biblioteca Digitale Italiana di Matematica
Access to full text
Full (PDF)
Full (DjVu)

Vengono dati risultati che descrivono analiticamente il cosiddetto «effetto delle punte» di un conduttore elettrico.

Publié le : 1976-01-01
@article{RLINA_1976_8_60_1_13_0,
     author = {Gaetano Fichera},
     title = {Asymptotic behaviour of the electric field near the singular points of the conductor surface},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
     volume = {60},
     year = {1976},
     pages = {13-20},
     zbl = {0364.35004},
     mrnumber = {0489373},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLINA_1976_8_60_1_13_0}
}

Fichera, Gaetano. Asymptotic behaviour of the electric field near the singular points of the conductor surface. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti, Tome 60 (1976) pp. 13-20. http://gdmltest.u-ga.fr/item/RLINA_1976_8_60_1_13_0/

[1] Carleman, T. (1916) - Über das Neumann Poincaresche Problem für ein Gebiet mit Ecken, Diss. Upsala, ser. 193.

[2] Castellani Rizzonelli, P. (1973) - On the first boundary value problem for the classical theory of elasticity in a three-dimensional domain with a singular boundary, «Journal of Elasticity», 3 (4), 225-259. | MR 475095

[3] Fichera, G. (1974) - Existence Theorems in the Theory of Elasticity (in Russian), «Biblioteka Sbornika Matematika», Mir Publishers, Moscow. | Zbl 0317.73008

[4 ] Fichera, G. (1975) - Asymptotic Behaviour of the Electric Field and of the Electric Density near the Singular Points of the Conductor Surface (in Russian), «Uspehi Matematikeski Nauk», 30, 3 (193), 105-124. | MR 388978

[5] Fichera, G. and Sneider, M. A. (1974) - Distribution de la charge électrique dans le voisinage des sommets et des aretes d'un cube, «C. R. Acad. Sci. Paris», 278, 13 mai 1974, sér. A, 1303-1306. | MR 351281 | Zbl 0282.35038

[6] Hanna, M. S. and Smith, K. T. (1967) - Some Remarks on the Dirichlet Problem in Piece-wise Smooth Domains, «Comm. Pure and Appl. Mathem.», 20, 575-593. | MR 224972 | Zbl 0154.13003

[7] Kondrat'Ev, V. A. (1963) - Boundary Value Problems for Elliptic Equations in Conical Regions (in Russian), «Doklady Akad. Nauk, SSSR».

[8] Kondrat'Ev, V. A. (1967) - Boundary problems for elliptic equations with conical or angular points (in Russian), «Trudy Moskov Mat., Obsc.», 16, 209-212.

[9] Kondrat'Ev, V. A. (1970) - The smoothness of the solution of the Dirichlet equations in a piece-wise smooth domain (in Russian), «Differencial'nye Urav.», 6, 1831-1843. | MR 282052

[10] Maz'Ja, V. G. and Plamenevskii, B. A. (1971) - The oblique derivative problem in a domain with a piece-wise smooth boundary (in Russian), «Funkcional Anal. Prilozen», 5 (3), 102-103. | MR 282260

[11] Maz'Ja, V. G. and Plamenevskii, B. A. (1972) - On a class of manifolds with singularities (in Russian), «Vyss. Ucebn. Zaved. Matematica», 11, 126, 46-52.

[12] Maz'Ja, V. G. and Plamenevskii, B. A. (1973) - On Elliptic Boundary Value Problems with Discontinuous Coefficients on Manifold with Singularities (in Russian), «Dokl. Akad. Nauk SSSR», 210. | MR 320516

[13] Sneider Ludovici, M. A. (1970) - Sulla capacità elettrostatica di una superficie chiusa, «Memorie Accad. Naz. Lincei», ser. VIII, 10, 97-215.

[14] Whittaker, E. T. and Watson, S. N. (1927) - A Course of Modern Analysis, 4th. Ed., Cambridge at the Univ. Press. | MR 1424469