We show how pointwise lower bounds for positive weak solutions of degenerate parabolic equations can be derived from the intrinsic Harnack inequality they satisfy. This generalizes a result proved by Moser for linear parabolic equations with bounded and measurable coefficients.
Lower bounds for solutions of degenerate parabolic equations / Ugo, Gianazza; Polidoro, Sergio. - STAMPA. - (2007), pp. 157-162. (Intervento presentato al convegno Meeting on Subelliptic PDE's and Applications to Geometry and Finance tenutosi a Cortona (AR), Italia nel 12-17 giugno 2006).
Lower bounds for solutions of degenerate parabolic equations.
POLIDORO, Sergio
2007
Abstract
We show how pointwise lower bounds for positive weak solutions of degenerate parabolic equations can be derived from the intrinsic Harnack inequality they satisfy. This generalizes a result proved by Moser for linear parabolic equations with bounded and measurable coefficients.
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