A two-parameter family of Harnack type inequalities for non-negative solutions of a class of singular, quasilinear, homogeneous parabolic equations is established, and it is shown that such estimates imply the Hölder continuity of solutions.
Harnack-type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations
2010
Abstract
A two-parameter family of Harnack type inequalities for non-negative solutions of a class of singular, quasilinear, homogeneous parabolic equations is established, and it is shown that such estimates imply the Hölder continuity of solutions.File in questo prodotto:
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