35 citations · 56 across the 7 of their papers we have counts for
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math-ph2015★ 11 cited
Connection problem for the tau-function of the Sine-Gordon reduction of Painlevé-III equation via the Riemann-Hilbert approach
Alexander Its, Andrei Prokhorov
We evaluate explicitly, in terms of the Cauchy data, the constant pre-factor in the large asymptotics of the Painlevé III tau-function. Our result proves the conjectural formul…
math-ph2015
Regularity of electromagnetic fields in convex domains
N. Filonov, A. Prokhorov
In this paper the "strong" Maxwell operator defined on fields from the Sobolev space , and the "weak" Maxwell operator defined on the natural domain are considered. It is sh…