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The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications)
The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications) Summary:By Cristian E. Gutierrez
The classical Monge-Ampère
equation has been the center of considerable interest in recent years
because of its important role in several areas of applied mathematics.
In reflecting these developments, this work stresses the geometric
aspects of this beautiful theory, using some techniques from harmonic
analysis---covering lemmas and set decompositions. Moreover,
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.The book is an essentially self-contained exposition of the
theory of weak solutions, including the regularity results of L.A.
Caffarelli. The presentation unfolds systematically from introductory
chapters, and an effort is made to present complete proofs of all
theorems. Included are examples, illustrations, bibliographical
references at the end of each chapter, and a comprehensive index.Topics
covered include: * Generalized Solutions * Non-divergence Equations *
The Cross-Sections of Monge-Ampère * Convex Solutions of D^2u = 1 in
R^n * Regularity Theory * W^2, p Estimates The Monge-Ampère Equation is
a concise and useful book for graduate students and researchers in the
field of nonlinear equations.
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Sponsored LinksThe Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications) Keywordsequations monge ampère theory solutions equation areas differential regularity applications nonlinear effort chapters proofs introductory theorems included caffarelli results including weak beautiful theory geometric aspects harmonic analysis covering analysis covering lemmas differential geometry applied mathematics monge ampère equation nonlinear differential equation progress differential equationsBookmark The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications)Hyperlink code:The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications) download copyrightThis site does not store The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications) on its server. We only index and link to The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications) provided by other sites. Please contact the content providers to delete The Monge-Ampere Equation (Progress in Nonlinear Differential Equations and Their Applications) if any and email us, we'll remove relevant links or contents immediately. |
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