Ivanov, A. V. Hölder estimates near the boundary for generalized solutions of quasilinear parabolic equations admitting double degeneration. (Russian. English summary) Zbl 0755.35058 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 188, 45-69 (1991). Summary: Hölder estimates near the parabolic boundary of the cylinder \(Q_ T=\Omega\times(0,T]\) for weak solutions of quasilinear doubly degenerate parabolic equations is established. The typical example of an admissible equation is the equation of nonneutronian polytrophic filtration \[ \partial u/\partial t-\partial/\partial x_ i\{a_ 0| u|^{\sigma(m-1)}|\nabla u|^{m-2}\partial u/\partial x_ i\}=0,\quad a_ 0>0,\;\sigma>0,\;m>2. \] Cited in 1 ReviewCited in 9 Documents MSC: 35K65 Degenerate parabolic equations 35D99 Generalized solutions to partial differential equations 35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs Keywords:quasilinear doubly degenerate parabolic equations; equation of nonneutronian polytrophic filtration PDFBibTeX XMLCite \textit{A. V. Ivanov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 188, 45--69 (1991; Zbl 0755.35058) Full Text: EuDML