Results 181 to 190 of about 59,795 (219)

Stabilization of nonlocal solitons by boundary conditions

Optics Letters, 2014
We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Qi Guo, Wei Hu, Yiheng Li, Jing Wang
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An elliptic-parabolic problem with a nonlocal boundary condition

Archive for Rational Mechanics and Analysis, 1987
The authors derive a nonlinear elliptic-parabolic problem describing the one-dimensional flow of a liquid in an unsaturated porous medium. The originality of the model appears in a nonlocal boundary condition on the unknown, which is chosen to be the difference between the pressure of the liquid and the pressure of the gas filling the medium.
C.J. van Duijn, Josephus Hulshof
openaire   +4 more sources

Differential operators with nonlocal boundary conditions

Differential Equations, 2000
Inverse problems of spectral analysis are studied for boundary value problems generated by the Sturm-Liouville differential operator \[ \ell y:=y''+q(x)y, \quad ...
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ON A PROBLEM WITH NONLOCAL BOUNDARY CONDITION FOR A PARABOLIC EQUATION

Mathematics of the USSR-Sbornik, 1993
The following initial-boundary value problem is considered in a rectangle \(Q_ T=\{(t,x ...
L A Muraveĭ, A V Filinovskiĭ
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Problem with nonlocal condition on the free boundary

Ukrainian Mathematical Journal, 2012
We investigate the one-phase Florin problem for a parabolic equation with nonlocal condition. Theorems on the existence and uniqueness of a solution are proved, and a priori estimates for the solution are obtained.
R. N. Turaev, Zh. O. Takhirov
openaire   +2 more sources

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