Geodesic
Potentials for elliptic boundary value problems in cones
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1129-1149

Voir la notice de l'article provenant de la source Math-Net.Ru

One discusses a solving procedure for elliptic pseudo differential equations in a model multidimensional cone, and using the concept of wave factorization one studies a solvability for this equation. Taking into account the construction for a general solution one needs some additional conditions for a unique solvability. For simplest cases one gives a reduction of the obtained boundary value problem to certain integral equation like classical potential method.
Keywords: elliptic pseudo differential equation, wave factorization, cone, boundary value problem. 
@article{SEMR_2016_13_a87,
     author = {V. B. Vasilyev},
     title = {Potentials for elliptic boundary value problems in cones},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1129--1149},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a87/}
}
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V. B. Vasilyev. Potentials for elliptic boundary value problems in cones. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1129-1149. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a87/