Sukjung Hwang, Gary M. Lieberman
Abstract:
Here we generalize quasilinear parabolic p-Laplacian type equations to
obtain the prototype equation
where g is a nonnegative, increasing, and continuous function trapped
in between two power functions
and
with
.
Through this generalization in
the setting from Orlicz spaces, we provide a proof for the Holder
continuity of such solutions which has much in common with that proof
of Holder continuity of solutions of singular equations.
Submitted July 17, 2015. Published November 19, 2015.
Math Subject Classifications: 35B45, 35K65.
Key Words: Quasilinear parabolic equation; degenerate equation;
generalized structure; a priori estimate; Holder continuity.
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Sukjung Hwang Center for Mathematical Analysis and Computation Yonsei University, Seoul 03722, Korea email: sukjung_hwang@yonsei.ac.kr | |
Gary M. Lieberman Department of Mathematics Iowa State University Ames, IA 50011, USA email: lieb@iastate.edu |
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