Results 21 to 30 of about 95,620 (293)

A volume constraint problem for the nonlocal doubly nonlinear parabolic equation

open access: yesMathematics in Engineering, 2023
We consider a volume constraint problem for the nonlocal doubly nonlinear parabolic equation, called the nonlocal $ p $-Sobolev flow, and introduce a nonlinear intrinsic scaling, converting a prototype nonlocal doubly nonlinear parabolic equation into ...
Masashi Misawa   +2 more
doaj   +1 more source

Nonlocal boundary value problems [PDF]

open access: yesBoundary Value Problems, 2012
In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the
Franco D, INFANTE, GENNARO, Minhos FM
openaire   +3 more sources

A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]

open access: yes, 2003
We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Dancer E. N.   +11 more
core   +1 more source

A remark on elliptic differential equations on manifold

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
For elliptic boundary value problems of nonlocal type in Euclidean space, the well posedness has been studied by several authors and it has been well understood. On the other hand, such kind of problems on manifolds have not been studied yet.
A. Ashyralyev, Y. Sozen, F. Hezenci
doaj   +1 more source

A nonlocal supercritical Neumann problem [PDF]

open access: yes, 2019
We establish existence of positive non-decreasing radial solutions for a nonlocal nonlinear Neumann problem both in the ball and in the annulus. The nonlinearity that we consider is rather general, allowing for supercritical growth (in the sense of ...
Cinti, Eleonora, Colasuonno, Francesca
core   +2 more sources

Young measures in a nonlocal phase transition problem [PDF]

open access: yes, 1997
A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Ren, X, Winter, M
core   +1 more source

Nonclassical Problem for Ultraparabolic Equation in Abstract Spaces

open access: yesJournal of Function Spaces, 2016
Nonclassical problem for ultraparabolic equation with nonlocal initial condition with respect to one time variable is studied in abstract Hilbert spaces.
Gia Avalishvili, Mariam Avalishvili
doaj   +1 more source

Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

open access: yesLietuvos Matematikos Rinkinys, 2021
In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
doaj   +1 more source

On a boundary value problem for mixed type equation with nonlocal initial conditions in the rectangle

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
The boundary value problem for mixed type equation with nonlocal initial conditions in integral form is considered. The main result states that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation.
Svetlana V Kirichenko
doaj   +3 more sources

Distributed optimal control of a nonstandard nonlocal phase field system [PDF]

open access: yes, 2016
We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi   +2 more
core   +4 more sources

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