Sukjung Hwang, Gary M. Lieberman
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
| Gary M. Lieberman |
Department of Mathematics
Iowa State University
Ames, IA 50011, USA
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