## Tags » Maximum Principle

### Dynamic optimisation, also known as optimal control, is one of the most important techniques of environmental and natural resource economics.  Although it’s difficult,  the basics should be a compulsory element of graduate-level courses in these fields.1,862 more words

Environment (general)

#### Newtonian Potential

— 1. Definition of Newtonian Potential —

Definition 1 Let be a bounded open set, we define the Newtonian potential of is the function on by…

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Elliptic Theory

#### Behavior of harmonic functions comparing with a Green's function

Theorem Let , satisfies

If there exists such that

If as , then in .

Proof: Without loss of generality assume on , or we can add a large constant on to make it positive on boundary.

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Elliptic Theory