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# Existence of solutions for degenerate parabolic equations with rough coefficients

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.

Paper:
Available as PDF (252 Kbytes).
Author(s):
Darko Mitrović
Submitted by:
; 2011-06-08.