output
19952026
most citedBSDE with quadratic growth and unbounded terminal value

241 citations

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Showing 2018Show all

93 papers · 1 filter

math.AP2018★ 37 cited

Rational normal forms and stability of small solutions to nonlinear Schrödinger equations

Joackim Bernier, Erwan Faou, Benoit Grebert

We consider general classes of nonlinear Schrödinger equations on the circle with nontrivial cubic part and without external parameters. We construct a new type of normal forms, na…

eess.SP2018

Efficient atom selection strategy for iterative sparse approximations

Clément Dorffer, Angélique Drémeau, Cedric Herzet

We propose a low-computational strategy for the efficient implementation of the "atom selection step" in sparse representation algorithms. The proposed procedure is based on simple…

math.AP2018★ 10 cited

Paracontrolled calculus and regularity structures

I. Bailleul, M. Hoshino

We start in this work the study of the relation between the theory of regularity structures and paracontrolled calculus. We give a paracontrolled representation of the reconstructi…

math.CA2018

Young and rough differential inclusions

I. Bailleul, A. Brault, L. Coutin

We define in this work a notion of Young differential inclusion for an -Holder control , with , and give an existence result for such a diff…

math.AG2018

A new general formula for the Cauchy Index on an interval with Subresultants

Daniel Perrucci, Marie-Françoise Roy

We present a new formula for the Cauchy index of a rational function on an interval using subresultant polynomials. There is no condition on the endpoints of the interval and the f…

math.NA2018★ 46 cited

Regularized numerical methods for the logarithmic Schrodinger equation

Weizhu Bao, Rémi Carles, Chunmei Su +1

We present and analyze two numerical methods for the logarithmic Schr{ö}dinger equation (LogSE) consisting of a regularized splitting method and a regularized conservative Crank-Ni…