Strong Traces to Degenerate Parabolic Equations
Marko Erceg, Darko Mitrović · SIAM Journal on Mathematical Analysis · 2022
We prove existence of strong traces at $t=0$ for quasi-solutions to (multidimensional) degenerate parabolic equations with no nondegeneracy conditions. In order to solve the problem, we combine the blow-up method and a strong precompactness result for quasi-solutions to degenerate parabolic equations with the induction argument with respect to the space dimension.