Geodesic
Boundary integral equations of the logarithmic potential theory for domains with peaks
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 4, pp. 211-236.

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

Integral equations of boundary value problems of the logarithmic potential theory for a plane domain with several peaks at the boundary are studied. We present theorems on the unique solvability and asymptotic representations for solutions near peaks. We also find kernels of the integral operators in a class of functions with a weak power singularity and describe classes of uniqueness.
Vengono studiate le equazioni integrali dei problemi al contorno della teoria del potenziale logaritmico per un dominio piano con diverse cuspidi sul contorno. Vengono presentati teoremi sull'unicità della soluzione e sulle rappresentazioni asintotiche delle soluzioni in prossimità delle cuspidi. Vengono anche considerati nuclei di operatori integrali in una classe di funzioni con singolarità debole e descritte le classi per l'unicità della soluzione. 1. INTRODUCTION 
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Soloviev, Alexander A. Boundary integral equations of the logarithmic potential theory for domains with peaks. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 4, pp. 211-236. http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_4_a1/

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