Preprint 2011-012
Existence of solutions for degenerate parabolic equations with rough coefficients
Darko Mitrović
Abstract: We prove that a sequence of quasi-solutions to non-degenerate degenerate parabolic equations with rough coefficients is strongly $L^1_{\mathrm{loc}}$-precompact. The result is obtained using the H-measures and a new concept of quasi-homogeneity. A consequence of the precompactness is existence of a weak solution to the equation under consideration.