Results 11 to 20 of about 484,592 (357)
One-loop analysis with nonlocal boundary conditions [PDF]
Physical Review D, 2019 In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane.
Di Grezia, Elisabetta +1 more
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On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions [PDF]
Boundary Value Problems, 2007 A generalization of the comparison principle for a semilinear and a quasilinear parabolic equations with nonlocal boundary conditions including changing sign kernels is obtained.
Yuandi Wang, Hamdi Zorgati
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Green functions for stationary problems with nonlocal boundary conditions [PDF]
Lietuvos Matematikos Rinkinys, 2008 In this paper the Green functions for various stationary problems with nonlocal boundary conditions are investigated.We compare Green functions properties for classical boundary conditions with properties of Green functions for problems with nonlocal ...
Svetlana Roman, Artūras Štikonas
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On the prescription of boundary conditions for nonlocal Poisson's and peridynamics models [PDF]
arXiv.org, 2021 We introduce a technique to automatically convert local boundary conditions into nonlocal volume constraints for nonlocal Poisson's and peridynamic models.
M. D'Elia, Yue Yu
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NONLOCAL BOUNDARY CONDITIONS FOR THE NAVIER–STOKES EQUATIONS [PDF]
Waves and Stability in Continuous Media, 2006 Maria Carmela Lombardo, M. Sammartino
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Nonlocal Conduction in a Metawire. [PDF]
Adv MaterA 1D metawire composed of twisted copper wires is designed and realized. This metamaterial exhibits pronounced effects of nonlocal electric conduction according to Ohm's law. The current at one location not only depends on the electric field at that location but also on other locations.
Iglesias Martínez JA +3 more
europepmc +2 more sources
On the Heat Equation with Nonlinear and Nonlocal Boundary Conditions
Journal of Mathematical Analysis and Applications, 1995 AbstractThis paper deals with some theoretical results concerning a heat equation with certain nonlinear and nonlocal boundary conditions. An equivalent system of nonlinear Volterra integral equations is set up and the existence and uniqueness of the solution of the original problem are demonstrated on [0, ∞) through the existence and uniqueness of the
Bartur Jumarhon, S. McKee
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On the nonlocal Cahn–Hilliard equation with nonlocal dynamic boundary condition and boundary penalization [PDF]
Journal of Differential Equations, 2021 The Cahn--Hilliard equation is one of the most common models to describe phase segregation processes in binary mixtures. In recent times, various dynamic boundary conditions have been introduced to model interactions of the materials with the boundary more precisely.
Knopf P., Signori A.
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Nonlocal problems with Neumann boundary conditions [PDF]
Revista Matemática Iberoamericana, 2017 We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain. In addition, we formulate problems with nonhomogeneous Neumann conditions, and also with mixed Dirichlet and Neumann ...
S. Dipierro, X. Ros Oton, E. Valdinoci
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Subcritical nonlocal problems with mixed boundary conditions
Bulletin of Mathematical Sciences, 2023 By using linking and [Formula: see text]-theorems in this paper we prove the existence of multiple solutions for the following nonlocal problem with mixed Dirichlet–Neumann boundary data, [Formula: see text] where [Formula: see text], [Formula: see text], is the spectral fractional Laplacian operator, [Formula: see text], [Formula: see text], is a ...
Bisci, GM, Ortega, A, Vilasi, L
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