In the theory of PDE, an *a priori* estimate (also called an **apriori estimate** or *a priori* bound) is an estimate derived before the solution is known to exist. One reason for their importance is that if one can prove an *a priori* estimate for solutions of a differential equation, then it is often possible to prove that solutions exist using the continuity method or a fixed point theorem. Here (download) is the brief summary for apriori estimate of linear Elliptic and Parabolic PDE in Chinese version.

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