Integro-differential systems of mixed type involving higher order fractional Laplacian

Abstract:

In this paper, we deal with a new class of non-local operators that we term integro-differential systems of mixed type. We study the behaviour of solutions of this system when the diffusion term involves higher order fractional powers of the Laplacian. Moreover, we prove that the solution of the system decays faster than a power with an exponent given by the smallest index of the fractional power of the Laplacian.

Año de publicación:

2017

Keywords:

• Higher order fractional Laplacian
• Fourier transform
• integro-differential operators of mixed type
• Wilcox formula

Fuente:

scopus