A Riemann-Hilbert Problem for the Moisil-Teodorescu System
نویسندگان
چکیده
منابع مشابه
A Riemann-Hilbert problem for biorthogonal polynomials
We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et al. We believe that our formulation may be tractable to asymptotic analysis.
متن کاملThe Riemann - Hilbert Problem for Holonomic Systems
The purpose of this paper is to give a proof to the equivalence of the derived category of holonomic systems and that of constructible sheaves. Let X be a paracompact complex manifold and let ® x and 0 x be the sheaf of differential operators and holomorphic functions, respectively. We denote by Mod(^z) the abelian category of left ^^-Modules and by D(^) its derived category. Let ~D^(^x) denote...
متن کاملNonlinear Riemann-hilbert Problem for Bordered Riemann Surfaces
Let Σ be a bordered Riemann surface with genus g and m boundary components. Let {γz}z∈∂Σ be a smooth family of smooth Jordan curves in C which all contain the point 0 in their interior. Then there exists a holomorphic function f(z) on Σ smooth up to the boundary with at most 2g +m− 1 zeros on Σ such that f(z) ∈ γz for every z ∈ ∂Σ.
متن کاملAsymptotics in a Riemann-Hilbert boundary problem for pseudoholomorphic curves
where we x a volume element on to achieve the last isomorphism. The section (3) vanishes precisely at the complex points 2 . Such a point is called elliptic if @F ^ @F is transversal to the zero section in (4) and the intersection number int (@F^ @F; 0detF T 10M) is one, see [K], and general elliptic is de ned below in section 1. Our main result implies the following Corollary 2. Let F : 2 ,! (...
متن کاملOn partial indices for a matrix Riemann-Hilbert problem
An analytical solution of the matrix Riemann-Hilbert problem relevant to the BGK modelin the field of rarefied-gas dynamics is used to deduce the partial indices basic to a canonicalsolution of the considered Riemann-Hilbert problem. SommarioSi fa uso di una soluzione analitica del problema di Riemann-Hilbert che origina dalmodello BGK nel campo della dinamica dei gas rarefa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Siberian Advances in Mathematics
سال: 2018
ISSN: 1055-1344,1934-8126
DOI: 10.3103/s1055134418030057