Potentials for elliptic boundary value problems in cones

V. B. Vasilyev

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1129-1149.

Résumé

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.

Détail

Keywords: elliptic pseudo differential equation, wave factorization, cone, boundary value problem.

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