Results 1 to 10 of about 1,390 (99)

On the Solvability of Some Boundary Value Problems for the Nonlocal Poisson Equation with Boundary Operators of Fractional Order

open access: yesFractal and Fractional, 2022
In this paper, in the class of smooth functions, integration and differentiation operators connected with fractional conformable derivatives are introduced.
K. Usmanov, B. Turmetov, K. Nazarova
semanticscholar   +1 more source

Global existence conditions for a nonlocal problem arising in statistical mechanics

open access: yesAdvances in Differential Equations, 2004
We consider the evolution of the density and temperature of 11 three-dimensional cloud of self-interacting particles. This phenomenon is modeled by a parabolic equation for the density distribution combining temperature-dependent diffusion and convection
Van Duijn, Ignacio Guerra, M. Peletier
semanticscholar   +1 more source

On solvability of the Dirichlet and Neumann boundary value problems for the Poisson equation with multiple involution

open access: yesVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki, 2021
Transformations of the involution type are considered in the space $R^l$, $l\geq 2$. The matrix properties of these transformations are investigated. The structure of the matrix under consideration is determined and it is proved that the matrix of these ...
B. Turmetov, V. Karachik
semanticscholar   +1 more source

Review on solving the forward problem in EEG source analysis [PDF]

open access: yes, 2007
Background: The aim of electroencephalogram ( EEG) source localization is to find the brain areas responsible for EEG waves of interest. It consists of solving forward and inverse problems.
Hans Hallez   +10 more
core   +2 more sources

On the Stokes semigroup in some non-Helmholtz domains [PDF]

open access: yes, 2014
This paper shows that Lp-Helmholtz decomposition is not necessary to establish the analyticity of the Stokes semigroup in C0; , the L 1 -closure of the space of all compactly supported smooth solenoidal vector fields. In fact, in a sector-like domain for
Abe, Ken   +3 more
core   +2 more sources

Variational Formulation and Upper Bounds for Degenerate Scales in Plane Elasticity [PDF]

open access: yes, 2014
International audienceDegenerate scales appear when certain plane boundary value problems solved using Boundary Integral Equations do not have a unique solution.
Bonnet, Guy, Corfdir, Alain
core   +4 more sources

On the Stokes resolvent estimates for cylindrical domains [PDF]

open access: yes, 2015
This paper studies the analyticity of the Stokes semigroup in an infinite cylinder or more generally a cylindrical domain with several exits to infinity in the space C0; , the L 1 -closure of all smooth compactly supported solenoidal vector fields. These
Abe, Ken   +3 more
core   +1 more source

Identification of Boundary Conditions Using Natural Frequencies

open access: yes, 2006
The present investigation concerns a disc of varying thickness of whose flexural stiffness $D$ varies with the radius $r$ according to the law $D=D_0 r^m$, where $D_0$ and $m$ are constants.
A.M. Akhtyamov   +14 more
core   +1 more source

SOME BOUNDARY VALUE PROBLEMS WITH INVOLUTION FOR THE NONLOCAL POISSON EQUATION

open access: yesBULLETIN Series of Physics & Mathematical Sciences, 2020
In this paper, we study new classes of boundary value problems for a nonlocal analogue of the Poisson equation. The boundary conditions, as well as the nonlocal Poisson operator, are specified using transformation operators with orthogonal matrices.
M. Koshanova   +2 more
semanticscholar   +1 more source

The Dirichlet problem [PDF]

open access: yes, 1960
Thesis (M.A.)--Boston UniversityThe problem of finding the solution to a general eliptic type partial differential equation, when the boundary values are given, is generally referred to as the Dirichlet Problem.
Wyman, Jeffries
core  

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