Results 51 to 60 of about 3,849,109 (255)

A Quasilinear Parabolic System with Nonlocal Boundary Condition [PDF]

Boundary Value Problems, 2011
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Botao Chen, Yongsheng Mi, Chunlai Mu
openaire   +3 more sources

A second order minimality condition for the Mumford-Shah functional

, 2007
A new necessary minimality condition for the Mumford-Shah functional is derived by means of second order variations. It is expressed in terms of a sign condition for a nonlocal quadratic form on $H^1_0(\Gamma)$, $\Gamma$ being a submanifold of the ...
A. Bonnet, A.A. Griffith, D. Mumford, F. Cagnetti, G. Dal Maso, G.A. Francfort, G.M. Troianiello, H. Koch, J. Deny, J. Sokolowski, L. Ambrosio, M. G. Mora, M. Morini, M.E. Gurtin, M.G. Mora   +14 more
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Global well-posedness for a nonlocal Gross-Pitaevskii equation with non-zero condition at infinity [PDF]

, 2010
We study the Gross-Pitaevskii equation involving a nonlocal interaction potential. Our aim is to give sufficient conditions that cover a variety of nonlocal interactions such that the associated Cauchy problem is globally well-posed with non-zero ...
André de Laire, Béthuel F., Béthuel F., Cazenave T., Coste C., Fasshauer G.E., Grafakos L., Gustafson S., Gérard P., Hörmander L., Krantz S.G., Lebedev N.N., Pitaevskii L.P., Schwartz L., Stein E.M., Yi S.   +15 more
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Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II

Lietuvos 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

The exit-time problem for a Markov jump process

, 2014
The purpose of this paper is to consider the exit-time problem for a finite-range Markov jump process, i.e, the distance the particle can jump is bounded independent of its location.
Burch, Nathanial, D'Elia, Marta, Lehoucq, R. B.   +2 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions

Journal of Mathematical Analysis and Applications, 1995
The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
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The Cauchy problem for a class of two-dimensional nonlocal nonlinear wave equations governing anti-plane shear motions in elastic materials

, 2011
This paper is concerned with the analysis of the Cauchy problem of a general class of two-dimensional nonlinear nonlocal wave equations governing anti-plane shear motions in nonlocal elasticity.
A Erkip, Adams R A, Andreu-Vaillo F, Constantin A, Duruk N, Eringen A C, H A Erbay, Kunin I A, Ladas G E, Levine H A, Ogden R W, Rogula D, Runst T, S Erbay, Taylor M E   +14 more
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Ground states for scalar field equations with anisotropic nonlocal nonlinearities [PDF]

, 2014
We consider a class of scalar field equations with anisotropic nonlocal nonlinearities. We obtain a suitable extension of the well-known compactness lemma of Benci and Cerami to this variable exponent setting, and use it to prove that the Palais-Smale ...
Iannizzotto, Antonio, Perera, Kanishka, Squassina, Marco   +2 more
core   +1 more source

Diffusion with nonlocal boundary conditions

Journal of Functional Analysis, 2016
We consider second order differential operators $A_ $ on a bounded, Dirichlet regular set $ \subset \mathbb{R}^d$, subject to the nonlocal boundary conditions \[ u(z) = \int_ u(x)\, (z, dx)\quad \mbox{for } z \in \partial . \] Here the function $ : \partial \to \mathscr{M}^+( )$ is $ (\mathscr{M} ( ), C_b( ))$-continuous with $0\leq (z,
Arendt, Wolfgang, Kunkel, Stefan, Kunze, Markus   +2 more
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Finite elements for Helmholtz equations with a nonlocal boundary condition [PDF]

SIAM Journal on Scientific Computing, 2020
Numerical resolution of exterior Helmholtz problems requires some approach to domain truncation. As an alternative to approximate nonreflecting boundary conditions and invocation of the Dirichlet-to-Neumann map, we introduce a new, nonlocal boundary ...
R. Kirby, Andreas Klöckner, B. Sepanski
semanticscholar   +1 more source