On Holder Continuity and Equivalent Formulation of Intrinsic Harnack Estimates for an Anisotropic Parabolic Degenerate Prototype Equation.

We give a proof of H\"older continuity for bounded local weak solutions to the equation $u_t= \sum_{i=1}^N (|u_{x_i}|^{p_i-2} u_{x_i})_{x_i}$, in $\Omega \times [0,T]$, with $\Omega \subset \subset \mathbb{R}^N$, under the condition $ 2

Keywords:

• Parabola
• Mathematical physics
• Omega
• Hölder condition
• Anisotropy
• Physics
• intrinsic geometry
• Harmonic mean
• Bounded function
• Degenerate energy levels

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