On the Local Regularity of Solutions for Double Degenerate Nonlinear Parabolic Equations (u<sup>q-1</sup>)<sub>t</sub>=div(|ΔU|<sup>p-2</sup>ΔU) When 1<p<2, P<=q

On the Local Regularity of Solutions for Double Degenerate Nonlinear Parabolic Equations (u<sup>q-1</sup>)<sub>t</sub>=div(|ΔU|<sup>p-2</sup>ΔU) When 1<p<2, P<=q

Year:    1993

Journal of Partial Differential Equations, Vol. 6 (1993), Iss. 1 : pp. 80–96

Abstract

In this paper, we establish interior Hölder estimates of solutions for double degenerate nonlinear parabolic equations (u^{q-1})_t = div (|∇u|^{p-2}∇u) when 1 < p < 2, p ≤ q.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1993-JPDE-5701

Journal of Partial Differential Equations, Vol. 6 (1993), Iss. 1 : pp. 80–96

Published online:    1993-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Hölder continuity