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.
2010
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI -
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/40784
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