Entropy and Partial Differential Equations
A. Entropy and elliptic equations 1. Definitions 2. Estimates for equilibrium entropy production a. A capacity estimate b. A pointwise bound 3. Harnack’s inequality B. Entropy and parabolic equations 1. Definitions 2. Evolution of entropy a. Entropy increase b. Second derivatives in time c. A differential form of Harnack’s inequality 3 ...
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