Zeev Sobol (Swansea)

Estimates of solutions to degenerate quasi-linear parabolic equations via parabolic analogs of Wolff potentials.

Abstract:
The talk will introduce a parabolic analog of Wolff potential used to derive pointwise estimates of solutions to degenerate quasi-linear parabolic equations with measures in the right hand side. The result generalises the celebrated Kilpelainen-Maly result for parabolic equations.