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Relationship between Neumann solutions for two-phase Lamé-Clapeyron-Stefan problems with convective and temperature boundary conditions
(Vinca Inst Nuclear Sci, 2017-01)
We obtain for the two-phase Lamé-Clapeyron-Stefan problem for a semi-infinite material an equivalence between the temperature and convective boundary conditions at the fixed face in the case that an inequality for the ...
On the first nontrivial eigenvalue of the ∞-Laplacian with Neumann boundary conditions
(University of Houston, 2016-06)
We study the limit as p goes to infinity of the first non-zero eigenvalue λp of the p-Laplacian with Neumann boundary conditions in a smooth bounded domain U of Rn. We prove that λ∞:=lim λp1/p=2/diam(U), where diam(U) ...
A nonlocal nonlinear diffusion equation with blowing up boundary conditions
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We deal with boundary value problems (prescribing Dirichlet or Neumann boundary conditions) for a nonlocal nonlinear diffusion operator which is analogous to the porous medium equation. First, we prove existence, uniqueness ...
Newton's method and a mesh independence principle for certain semilinear boundary value problems
(Elsevier Science, 2016-01)
We exhibit an algorithm which computes an ϵ-approximation of the positive solutions of a family of boundary-value problems with Neumann boundary conditions. Such solutions arise as the stationary solutions of a family of ...
Stabilization of the wave equation with Neumann boundary condition and localized nonlinear damping
(EUDOXUS PRESS, LLC, 2009)
We show that the solutions of the wave equation with potential, Neumann boundary conditions and a locally distributed nonlinear damping, decay to zero, with an algebraic rate, that is, the total energy E(t) satisfies for ...
A note on the controllability for the wave equation in nonsmooth plane domains
(Elsevier B.V., 2006-01-01)
We study exact boundary controllability for a two-dimensional wave equation in a region which is an angular sector of a circle or an angular sector of an annular region. The control, of Neumann type, acts on the curved ...
A note on the controllability for the wave equation in nonsmooth plane domains
(Elsevier B.V., 2006-01-01)
We study exact boundary controllability for a two-dimensional wave equation in a region which is an angular sector of a circle or an angular sector of an annular region. The control, of Neumann type, acts on the curved ...
One-Phase Stefan-Like Problems with Latent Heat Depending on the Position and Velocity of the Free Boundary and with Neumann or Robin Boundary Conditions at the Fixed Face
(Hindawi Publishing Corporation, 2018-08)
A one-phase Stefan-type problem for a semi-infinite material which has as its main feature a variable latent heat that depends on the power of the position and the velocity of the moving boundary is studied. Exact solutions ...