Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited

Details Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited

2007-02-09

arxiv.org/abs/math/0702263v3

Annales de l'Institut Henri Poincar\'e Analyse non lin\'eaire 25, 3 (2008) 567-585

Mathematics

Analysis of PDEs

Scientific paper

10.1016/j.anihpc.2007.02.007

The aim of this work is to revisit viscosity solutions' theory for second-order elliptic integro-differential equations and to provide a general framework which takes into account solutions with arbitrary growth at infinity. Our main contribution is a new Jensen-Ishii's Lemma for integro-differential equations, which is stated for solutions with no restriction on their growth at infinity. The proof of this result, which is of course a key ingredient to prove comparison principles, relies on a new definition of viscosity solution for integro-differential equation (equivalent to the two classical ones) which combines the approach with test-functions and sub-superjets.

Affiliated with

Also associated with

No associations

Rating

Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Second-Order Elliptic Integro-Differential Equations: Viscosity Solutions' Theory Revisited will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-8399