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Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media
 IEEE Trans. Antennas and Propagation
, 1966
"... The characteristics of the waves guided along a plane [I] P. S. Epstein, “On the possibility of electromagnetic surface waves, ” Proc. Nat’l dcad. Sciences, vol. 40, pp. 11581165, Deinterface which separates a semiinfinite region of free cember 1954. space from that of a magnetoionic medium are in ..."
Abstract

Cited by 1048 (0 self)
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the magnetostatic field at a plane boundary of a semiwhich is always less than the velocity of electromagnetic infinite magnetoionic medium, ” IEEE Trans. on Miomave waves in free space. The attenuation rates normal to the Tbory and Techniques, vol. MTT14, pp. 136144, March 1966. [6] S. R. Seshadri and T. T. \Vu
A free boundary problem with curvature
, 2004
"... In this paper we are interested in a free boundary problem whith a motion law involving the mean curvature term of the free boundary. Viscosity solutions are introduced as a notion of globaltime solutions past singularities. We show the comparison principle for viscosity solutions, which yields the ..."
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Cited by 2 (0 self)
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In this paper we are interested in a free boundary problem whith a motion law involving the mean curvature term of the free boundary. Viscosity solutions are introduced as a notion of globaltime solutions past singularities. We show the comparison principle for viscosity solutions, which yields
A Free Boundary Focusing Problem
, 1994
"... . We consider a one dimensional free boundary problem arising in combustion theory, and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time. AMS Subject Classification. 35K55,35K55,80A25. Keywords and phrases. Free boundary problem, simila ..."
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Cited by 9 (1 self)
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. We consider a one dimensional free boundary problem arising in combustion theory, and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time. AMS Subject Classification. 35K55,35K55,80A25. Keywords and phrases. Free boundary problem
A parabolic free boundary problem with Bernoulli type condition on the free boundary
, 2006
"... Consider the parabolic free boundary problem ∆u − ∂tu = 0 in {u> 0} , ∇u  = 1 on ∂{u> 0}. For a realistic class of solutions, containing for example all limits of the singular perturbation problem ∆uε − ∂tuε = βε(uε) as ε → 0, we prove that onesided flatness of the free boundary implies r ..."
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Cited by 4 (2 self)
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Consider the parabolic free boundary problem ∆u − ∂tu = 0 in {u> 0} , ∇u  = 1 on ∂{u> 0}. For a realistic class of solutions, containing for example all limits of the singular perturbation problem ∆uε − ∂tuε = βε(uε) as ε → 0, we prove that onesided flatness of the free boundary implies
On an Integral Equation for the FreeBoundary of Stochastic
 Irreversible Investment Problems, arXiv:1211.0412. Fothcoming on
"... Abstract. In this paper we derive a new handy integral equation for the freeboundary of infinite time horizon, continuous time, stochastic, irreversible investment problems with uncertainty modeled as a onedimensional, regular diffusion X. The new integral equation allows to explicitly find the ..."
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Cited by 9 (6 self)
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Abstract. In this paper we derive a new handy integral equation for the freeboundary of infinite time horizon, continuous time, stochastic, irreversible investment problems with uncertainty modeled as a onedimensional, regular diffusion X. The new integral equation allows to explicitly find
SHAPE CALCULUS AND FREE BOUNDARY PROBLEMS
, 2004
"... Key words: Free boundary problems, shape sensitivity analysis, automatic differentiation. Abstract. In this paper we shall study different solution strategies for abstract form of free boundary problems. Using the tools of shape calculus we analyse different solution strategies. As a result of our ..."
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Key words: Free boundary problems, shape sensitivity analysis, automatic differentiation. Abstract. In this paper we shall study different solution strategies for abstract form of free boundary problems. Using the tools of shape calculus we analyse different solution strategies. As a result of our
LOZENGE TILINGS WITH FREE BOUNDARIES
"... Abstract. We study lozenge tilings of a domain, such that the right vertical boundary is “free”, i.e. the lozenges can intersect it anywhere to protrude halfway across. We show that the positions of the horizontal lozenges near the left flat boundary have the same joint distribution as the eigenvalu ..."
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Abstract. We study lozenge tilings of a domain, such that the right vertical boundary is “free”, i.e. the lozenges can intersect it anywhere to protrude halfway across. We show that the positions of the horizontal lozenges near the left flat boundary have the same joint distribution
Free Boundaries in Semiconductor
 Proc. Free Boundary Problems: Theory and Applications
, 1990
"... The first analyses of semiconductor devices in the 1940s and 50s already considered a splitting of devices into regions of zero space charge and depletion regions. Here it is shown that these simplified models appear as singular limits of the driftdiffusion model for charge transport in semiconduct ..."
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The first analyses of semiconductor devices in the 1940s and 50s already considered a splitting of devices into regions of zero space charge and depletion regions. Here it is shown that these simplified models appear as singular limits of the driftdiffusion model for charge transport in semiconductors. The limiting problem for the potential is similar to the so called space charge problem. For pndiodes under certain biasing conditions, an existence result is a byproduct of the present analysis. 1. Introduction A nondimensionalized and simplified version of the classical driftdiffusion model for a steady flow of electrons and holes in a semiconductor is given by the elliptic system 2 \DeltaV = n \Gamma p \Gamma C; div(flrn \Gamma nrV ) = 0; div(flrp + prV ) = 0 (1) for the unknowns V; n and p denoting the electrostatic potential, the electron density and the hole density, respectively. The equations hold in a domain\Omega ae R 3 representing a pn diode. A pndiode is char...
Results 11  20
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8,366