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math.AP2011★ 4 cited
Stochastic Homogenization for Some Nonlinear Integro-Differential Equations
Russell W. Schwab
In this note we extend to the random, stationary ergodic setting previous results of periodic homogenization for a particular family of nonlinear nonlocal "elliptic" equations with…
math.AP2011★ 3 cited
Aleksandrov-Bakelman-Pucci Type Estimates For Integro-Differential Equations
Nestor Guillen, Russell Schwab
In this work we provide an Aleksandrov-Bakelman-Pucci type estimate for a certain class of fully nonlinear elliptic integro-differential equations, the proof of which relies on an…