Growth Theorems and Harnack Inequality for Second Order Parabolic Equations

@inproceedings{Ferretti2013GrowthTA,
  title={Growth Theorems and Harnack Inequality for Second Order Parabolic Equations},
  author={Elisa Ferretti and Mikhail V. Safonov},
  year={2013}
}
A general approach to both divergence (D) and non-divergence (ND) second order parabolic equations is presented, which is based on three growth theorem. These growth theorems look identical in both cases (D) and (ND). They allow to prove the Harnack inequality and other related facts by general arguments, which do not depend on the structure (divergence or nondivergence) of equations. In turn, the growth theorems are established on the grounds of the classical maximum principle and some… CONTINUE READING