Volume 8, Issue 4
A Note on Three Classes of Nonlinear Parabolic Equations with Measurable Coefficients
DOI:

J. Part. Diff. Eq., 8 (1995), pp. 310-320.

Published online: 1995-08

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• Abstract

In this note a note and simple technique is presented to replace the complicated one in [1] to obtain Hölder continuity of the weak solutions for a class of nonlinear parabolic equations with measurable coefficients, whose prototype is the singular p-Laplacian. This new approach is also applied to two other classes of nonlinear parabolic equations with measurable coefficients, whose weak solutions exhibit the similar property to those of equations mentioned above.

• Keywords

Hölder continuity nonlinear parabolic equations measurable coefficients