Zobrazeno 1 - 10
of 6 640
pro vyhledávání: '"fundamental solution"'
Autor:
Энеева, Л.М.
Publikováno v:
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, Vol 48, Iss 3, Pp 43-55 (2024)
В работе рассматривается линейное обыкновенное дифференциальное уравнение с производной дробного порядка, которое содержит оператор
Externí odkaz:
https://doaj.org/article/21b3191060ee4b8cbd7c00788b96c3b4
Autor:
Garofalo Nicola
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 12, Iss 1, Pp 257-278 (2024)
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Externí odkaz:
https://doaj.org/article/ea2c169c21a14d23b91d8e9424dd1bdd
Autor:
Sirkka-Liisa Eriksson, Heikki Orelma
Publikováno v:
Cubo, Vol 26, Iss 2, Pp 341-358 (2024)
In this article, we study the extended Weinstein equation \[ Lu=\Delta u+\frac{k}{x_n}\frac{\partial u}{\partial x_n}+\frac{\ell}{x_n^2}u, \] where \(u\) is a sufficiently smooth function defined in \(\mathbb{R}^n\) with \(x_n>0\) and \(n\ge 3\).
Externí odkaz:
https://doaj.org/article/3e27897f2f5c48b884351451ede4ebbd
Publikováno v:
Қарағанды университетінің хабаршысы. Математика сериясы, Vol 115, Iss 3 (2024)
This study is devoted to the study of the solution of a boundary value problem for an ordinary linear differential equation of half order with constant coefficients. Using of the fundamental solution of the main part of the considered equation, we ob
Externí odkaz:
https://doaj.org/article/3c5862c0f731473da6e962644c98b033
Autor:
Markus Lazar, Eleni Agiasofitou
Publikováno v:
Crystals, Vol 14, Iss 10, p 835 (2024)
In this work, within the framework of the linear piezoelectricity theory of quasicrystals, the three-dimensional and two-dimensional Green tensors for arbitrary piezoelectric quasicrystals are derived. In the piezoelectricity of quasicrystals, where
Externí odkaz:
https://doaj.org/article/502594bd71914de0845ff9f42377fda2
Autor:
Huashui Zhan
Publikováno v:
Boundary Value Problems, Vol 2023, Iss 1, Pp 1-19 (2023)
Abstract This paper is devoted to the study of anisotropic parabolic equation related to the p i $p_{i}$ -Laplacian with a source term f ( u ) $f(u)$ . If f ( u ) = 0 $f(u)=0$ , then the fundamental solution of the equation is constructed. If there a
Externí odkaz:
https://doaj.org/article/a978e1c1e3f2496f83aff922c2553bbb
Autor:
Elisa Affili, Jukka T. Kemppainen
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 1, Pp 1-14 (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 den
Externí odkaz:
https://doaj.org/article/46ef5afd51d74c10b04331433c22e601
Autor:
V.A. Litovchenko
Publikováno v:
Karpatsʹkì Matematičnì Publìkacìï, Vol 15, Iss 1, Pp 222-235 (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. This equation naturally generalizes the well-known fractal diffusion eq
Externí odkaz:
https://doaj.org/article/ef52dc756d8847f0b13d43da06604b33
Autor:
Barton Ariel E., Duffy Michael J.
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 3-25 (2023)
We establish the Caccioppoli inequality, a reverse Hölder inequality in the spirit of the classic estimate of Meyers, and construct the fundamental solution for linear elliptic differential equations of order 2m2m with certain lower order terms.
Externí odkaz:
https://doaj.org/article/a945b0c250c14c25b8b96a64ae3443aa