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20022011
most citedMean-field backward stochastic differential equations: A limit approach

322 citations

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math.AP2010★ 32 cited

Homogenization and enhancement for the G-equation

Pierre Cardaliaguet, James Nolen, Panagiotis E. Souganidis

We consider the so-called G-equation, a level set Hamilton-Jacobi equation, used as a sharp interface model for flame propagation, perturbed by an oscillatory advection in a spatio…

math.AP2010★ 12 cited

Some flows in shape optimization

Pierre Cardaliaguet, Olivier Ley

Geometric flows related to shape optimization problems of Bernoulli type are investigated. The evolution law is the sum of a curvature term and a nonlocal term of Hele-Shaw type. W…