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Lipschitz Regularity of Solutions for Mixed Integro-Differential Equations
regularity of generalized solutions viscosity solutions nonlinear elliptic equations
2011/9/13
Abstract: We establish new Hoelder and Lipschitz estimates for viscosity solutions of a large class of elliptic and parabolic nonlinear integro-differential equations, by the classical Ishii-Lions's m...
Homogenization of a class of integro-differential equations with L{é}vy operators
Homogenization of a class integro-differential equations L{é}vy operators
2011/2/22
We study the periodic homogenization of u"−c( x" ) Zz∈RN [u"(x+z)−u"(x)−1|z|<1h∇u"(x).
Hôlder continuity of solutions of second-order non-linear elliptic integro-differential equations
H¨older regularity integro-differential equations L´ evy operators general non-local operators
2010/11/29
This paper is concerned with H¨older regularity of viscosity solutions of second-order, fully
non-linear elliptic integro-differential equations. Our results rely on two key ingredients: first we ass...
Accelerating solutions in integro-differential equations
integro-differential equation slowly decaying kernel accelerating fronts
2010/12/15
In this paper, we study the spreading properties of the solutions of an integro-differential
equation of the form ut = J ∗u−u+f(u). We focus on equations with slowly decaying dispersal
k...