Results 21 to 30 of about 11,826,715 (309)
The existence of a global fundamental solution for homogeneous Hörmander operators via a global lifting method [PDF]
, 2016 We prove the existence of a global fundamental solution Γ(x;y) (with pole x ) for any Hörmander operator L=∑i=1mXi2 on Rn which is δλ ‐homogeneous of degree 2.
Stefano Biagi, A. Bonfiglioli
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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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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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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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Analysis of the Brinkman equation as a model for flow in porous media [PDF]
, 1987 The fundamental solution or Green's function for flow in porous media is determined using Stokesian dynamics, a molecular-dynamics-like simulation method capable of describing the motions and forces of hydrodynamically interacting particles in Stokes ...
Brady, J. F., Durlofsky, L.
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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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The hybrid solution for the Fundamental Plane
, 2013 By exploiting the database of early-type galaxies (ETGs) members of the WINGS survey of nearby clusters, we address here the long debated question of the origin and shape of the Fundamental Plane (FP).
Bettoni, D. +16 more
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A Max-plus Dual Space Fundamental Solution for a Class of Operator Differential Riccati Equations [PDF]
SIAM Journal of Control and Optimization, 2014 A new fundamental solution semigroup for operator differential Riccati equations is developed. This fundamental solution semigroup is constructed via an auxiliary finite horizon optimal control problem whose value functional growth with respect to time ...
P. Dower, W. McEneaney
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