BẤT ĐẲNG THỨC HARNACK YẾU CHO TOÁN TỬ LOẠI SCHRODINGER

Abstract

In regularity theory, weak Harnack inequality play an important role. Weak Harnack inequality is necessary to prove Holder continuty of weak solution. In this paper, we prove weak Harnack inequality for Schrodinger operator which is crucial and has many applications in quantum mechanical physics, where A is a constant matrix and V is potental belong to Reverse Holder. To obtain that, we need estimate for fundamental solution, Fefferman-Phong’s inequality, Caccioppoli inequality and Friedrichs inequality. In paper of Shen Z. (1995), he established weak Harnack inequality for operator . The outcomes in our paper represent a generalization of the results presented in the paper of Shen Z. (1995).