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most citedAsymptotic behaviors of fundamental solution and its derivatives related to space-time fractional differential equations

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math.AP2017

On the second order derivative estimates for degenerate parabolic equations

Ildoo Kim, Kyeong-hun Kim

We study the parabolic equation \begin{align} \notag &u_t(t,x)=a^{ij}(t)u_{x^ix^j}(t,x)+f(t,x), \quad (t,x) \in [0,T] \times \mathbf{R}^d \\ &u(0,x)=u_0(x) \label{main eqn} \end{al…