Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II
Homogenization of elliptic operators with coefficients in variable exponent Lebesgue spaces
Adisak Seesanea
Sirindhorn International Institute of Technology, Thammasat University Thailand
Co-Author(s):
Abstract:
We shall discuss homogenization problems involving second-order elliptic operators in the divergence form whose drift and potential terms belong to variable exponent Lebesgue spaces $L^{p(\cdot)}$. Our techniques rely on a study of the periodic unfolding method in the $L^{p(\cdot)}$ setting. This is a joint work with Mya Hnin Lwin.