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19952026
most citedBSDE with quadratic growth and unbounded terminal value

241 citations

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Showing 2011 · math.NAShow all

5 papers · 2 filters

math.NA2011★ 28 cited

Quantum waveguides with corners

Monique Dauge, Yvon Lafranche, Nicolas Raymond

The simplest modeling of planar quantum waveguides is the Dirichlet eigenproblem for the Laplace operator in unbounded open sets which are uniformly thin in one direction. Here we…

math.NA2011★ 1 cited

Weak backward error analysis for SDEs

Arnaud Debussche, Erwan Faou

We consider numerical approximations of stochastic differential equations by the Euler method. In the case where the SDE is elliptic or hypoelliptic, we show a weak backward error…

math.NA2011

Shape derivatives of boundary integral operators in electromagnetic scattering. Part II : Application to scattering by a homogeneous dielectric obstacle

Martin Costabel, Frédérique Le Louër

We develop the shape derivative analysis of solutions to the problem of scattering of time-harmonic electromagnetic waves by a bounded penetrable obstacle. Since boundary integral…

math.NA2011

Shape derivatives of boundary integral operators in electromagnetic scattering. Part I: Shape differentiability of pseudo-homogeneous boundary integral operators

Martin Costabel, Frédérique Le Louër

In this paper we study the shape differentiability properties of a class of boundary integral operators and of potentials with weakly singular pseudo-homogeneous kernels acting bet…

math.NA2011★ 1 cited

Non-coercive transmission problems in polygonal domains. -- Problèmes de transmission non coercifs dans des polygones

Monique Dauge, Benjamin Texier

We show that Kondratev's theory for corner domains can be extended to scalar transmission problems between two polygonal materials if the contrast ratio between the two materials i…