Cristian E. Gutierrez : The Monge—Ampère Equation

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Cristian E. Gutierrezin teos käsittelee Monge–Ampèren yhtälöä, keskeistä työkalua sovelletun matematiikan, differentiaaligeometrian ja optimoinnin tutkimuksessa, ja painottaa sen geometrista ulottuvuutta hyödyntäen harmonisen analyysin menetelmiä.

Suitable for: Sopii matematiikan jatko-opiskelijoille ja tutkijoille, jotka ovat kiinnostuneita epälineaarisista yhtälöistä ja matemaattisesta analyysistä.

The Monge-Ampère equation has attracted considerable interest in recent years because of its important role in several areas of applied mathematics. Monge-Ampère type equations have applications in the areas of differential geometry, the calculus of variations, and several optimization problems, such as the Monge-Kantorovitch mass transfer problem. This book stresses the geometric aspects of this beautiful theory, using techniques from harmonic analysis – covering lemmas and set decompositions.

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AuthorCristian E. Gutierrez
TitleThe Monge—Ampère Equation
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