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. These classes of singular equations include p-Laplacean type equations in the sub-critical range and equations of the porous medium type in the sub-critical range
Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations / E. DiBenedetto; U. Gianazza; V.Vespri. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 131:(2010), pp. 231-245. [10.1007/s00229-009-0317-9]
Harnack type estimates and Hölder continuity for non-negative solutions to certain sub-critically singular parabolic partial differential equations
VESPRI, VINCENZO
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. These classes of singular equations include p-Laplacean type equations in the sub-critical range and equations of the porous medium type in the sub-critical rangeFile | Dimensione | Formato | |
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