Investigation of the Boundary Layers of the Singular Perturbation Problem Including the Cauchy-Euler Differential Equation [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, for a singular perturbation problem consist of the Cauchy-Euler equation with local and non-local boundary conditions. We investigate the condition of the self-adjoint and the non-self-adjoint, also look for the formation or non ...
Alireza Sarakhsi, Siamak Ashrafi
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Max-plus fundamental solution semigroups for a class of difference Riccati equations [PDF]
, 2015 Recently, a max-plus dual space fundamental solution semigroup for a class of difference Riccati equation (DRE) has been developed. This fundamental solution semigroup is represented in terms of the kernel of a specific max-plus linear operator that ...
Dower, Peter M., Zhang, Huan
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Fundamental solution of the Volkov problem (characteristic representation) [PDF]
, 1998 The characteristic representation, or Goursat problem, for the Klein-Fock-Gordon equation with Volkov interaction [1] is regarded. It is shown that in this representation the explicit form of the Volkov propagator can be obtained.
Borghardt, Alexander A. +1 more
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Bruno Pini Mathematical Analysis Seminar, 2023 We are addressing a parabolic equation with fractional derivatives in time and space that governs the scaling limit of continuous-time random walks with anomalous diffusion. For these equations, the fundamental solution represents the probability density
Elisa Affili, Jukka T. Kemppainen
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Fundamental solutions in the Colombeau framework: applications to solvability and regularity theory [PDF]
, 2007 In this article we introduce the notion of fundamental solution in the Colombeau context as an element of the dual $\LL(\Gc(\R^n),\wt{\C})$. After having proved the existence of a fundamental solution for a large class of partial differential operators ...
Garetto, Claudia
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Local Polya fluctuations of Riesz gravitational fields and the Cauchy problem
Karpatsʹkì Matematičnì Publìkacìï, 2023 We consider a pseudodifferential equation of parabolic type with a fractional power of the Laplace operator of order $\alpha\in(0;1)$ acting with respect to the spatial variable.
V.A. Litovchenko
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Fourier and Gegenbauer Expansions for a Fundamental Solution of Laplace's Equation in Hyperspherical Geometry [PDF]
, 2015 For a fundamental solution of Laplace's equation on the $R$-radius $d$-dimensional hypersphere, we compute the azimuthal Fourier coefficients in closed form in two and three dimensions.
Cohl, Howard S., Palmer, Rebekah M.
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Solution of gauge theories induced by fundamental representation scalars [PDF]
, 1997 Gauge theories induced by scalars in the fundamental representation of the $U(N_c)_{gauge}\times U(N_f)_{global}$ group are investigated in the large $N_c$ and $N_f$ limit.
A. Hasenfratz +11 more
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On the Behaviour at Infinity of Solutions to Nonlocal Parabolic Type Problems
Известия Иркутского государственного университета: Серия "Математика", 2019 The paper deals with possible behaviour at infinity of solutions to the Cauchy problem for a parabolic type equation whose elliptic part is the generator of a Markov jump process , i.e. a nonlocal diffusion operator.
Е. А. Zhizhina, А. L. Piatnitski
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Қарағанды университетінің хабаршысы. Математика сериясы, 2022 A boundary value problem in a rectangular domain for a system of partial differential equations with the Dzhrbashyan-Nersesyan fractional differentiation operators with constant coefficients is studied in the case when the matrix coefficients of the ...
M.O. Mamchuev
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