Abstract
We prove that weak supersolutions to equations similar to the evolutionary $p$-Laplace equation have lower semicontinuous representatives. The proof avoids the use of Harnack's inequality and, in particular, the use of parabolic BMO. Moreover, the result gives a new point of view to approaching the continuity of the solutions to a second-order partial differential equation in divergence form.
Citation
Tuomo Kuusi. "Lower semicontinuity of weak supersolutions to nonlinear parabolic equations." Differential Integral Equations 22 (11/12) 1211 - 1222, November/December 2009. https://doi.org/10.57262/die/1356019413
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