Asymptotic behavior of elliptic nonlocal equations set in cylinders

作者：Yeressian Karen^*

来源：Asymptotic Analysis, 2014, 89(1-2): 21-35.

DOI：10.3233/ASY-141224

• asymptotic behavior
• elliptic nonlocal equations
• Levy process

In this paper the asymptotic behavior of elliptic nonlocal equations in cylindrical domains is studied. These equations are associated with symmetric pure jump Levy stochastic processes and are generalisation of equations involving the fractional Laplacian operator. First we consider the existence and uniqueness of weak solutions in appropriate Hilbert spaces associated with the Levy measure and then study the asymptotic behavior in cylinders.

• 出版日期2014