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Monotone positive solutions for a fourth order equation with nonlinear boundary conditions
(PERGAMON-ELSEVIER SCIENCE LTD, 2009)
This work is concerned with the existence of monotone positive solutions for a class of beam equations with nonlinear boundary conditions. The results are obtained by using the monotone iteration method and they extend ...
Homogenization in a thin domain with an oscillatory boundary
(GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2011)
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type R(epsilon) = {(x(1), x(2)) is an element of R(2) vertical bar x(1) is an element of (0, 1), 0 < ...
Exact boundary control for the wave equation in a polyhedral time-dependent domain
(Elsevier B.V., 2014)
Lobatto deferred correction for stiff two-point boundary value problems
(Elsevier B.V., 1998-11-01)
An iterated deferred correction algorithm based on Lobatto Runge-Kutta formulae is developed for the efficient numerical solution of nonlinear stiff two-point boundary value problems. An analysis of the stability properties ...
On the Heat Equation with Nonlinearity and Singular Anisotropic Potential on the Boundary
(2017-03-01)
This paper concerns with the heat equation in the half-space ℝ+n with nonlinearity and singular potential on the boundary ∂ℝ+n. We show a well-posedness result that allows us to consider critical potentials with infinite ...
On the detection of a moving obstacle in an ideal fluid by a boundary measurement
(2008)
In this paper, we investigate the problem of the detection of a moving obstacle
in a perfect fluid occupying a bounded domain in R2 from the measurement of
the velocity of the fluid on one part of the boundary. We show ...
On Elliptic equations with singular potentials and nonlinear boundary conditions
(2018-01-01)
We consider the Laplace equation in the half-space satisfying a nonlinear Neumann condition with boundary potential. This class of problems appears in a number of mathematical and physics contexts and is linked to fractional ...