The Monge-Ampere Equation by Cristian E. Gutierrez

By Cristian E. Gutierrez

The Monge-Ampère equation has attracted huge curiosity in recent times due to its vital function in numerous components of utilized arithmetic. Monge-Ampère sort equations have functions within the parts of differential geometry, the calculus of diversifications, and several other optimization difficulties, similar to the Monge-Kantorovitch mass move challenge. This e-book stresses the geometric elements of this pretty idea, utilizing strategies from harmonic research – masking lemmas and set decompositions.

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