We define a homogeneous De Giorgi class %of mixed type of order $p \geqslant 2$ which suits two class of evolution equations of the type $\mu (x,t) u_t + A u = 0$ and $(\mu (x,t) u)_t + A u = 0$, where $\mu$ can be positive, null and negative and $A$ a suitable elliptic operator. \\ For functions belonging to this class we prove a local boundedness result.
Local boundedness for forward–backward parabolic De Giorgi classes with coefficients depending on time
PARONETTO, FABIO
2017
Abstract
We define a homogeneous De Giorgi class %of mixed type of order $p \geqslant 2$ which suits two class of evolution equations of the type $\mu (x,t) u_t + A u = 0$ and $(\mu (x,t) u)_t + A u = 0$, where $\mu$ can be positive, null and negative and $A$ a suitable elliptic operator. \\ For functions belonging to this class we prove a local boundedness result.File in questo prodotto:
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