Dynamical and Geometric Aspects of HamiltonJacobi and Linearized MongeAmpère Equations : VIASM 2016
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The work Dynamical and Geometric Aspects of HamiltonJacobi and Linearized MongeAmpère Equations : VIASM 2016 represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Dynamical and Geometric Aspects of HamiltonJacobi and Linearized MongeAmpère Equations : VIASM 2016
Resource Information
The work Dynamical and Geometric Aspects of HamiltonJacobi and Linearized MongeAmpère Equations : VIASM 2016 represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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 Dynamical and Geometric Aspects of HamiltonJacobi and Linearized MongeAmpère Equations : VIASM 2016
 Title remainder
 VIASM 2016
 Statement of responsibility
 by Nam Q. Le, Hiroyoshi Mitake, Hung V. Tran ; edited by Hiroyoshi Mitake, Hung V. Tran
 Language
 eng
 Summary
 Consisting of two parts, the first part of this volume is an essentially selfcontained exposition of the geometric aspects of local and global regularity theory for the Monge–Ampère and linearized Monge–Ampère equations. As an application, we solve the second boundary value problem of the prescribed affine mean curvature equation, which can be viewed as a coupling of the latter two equations. Of interest in its own right, the linearized Monge–Ampère equation also has deep connections and applications in analysis, fluid mechanics and geometry, including the semigeostrophic equations in atmospheric flows, the affine maximal surface equation in affine geometry and the problem of finding Kahler metrics of constant scalar curvature in complex geometry. Among other topics, the second part provides a thorough exposition of the large time behavior and discounted approximation of Hamilton–Jacobi equations, which have received much attention in the last two decades, and a new approach to the subject, the nonlinear adjoint method, is introduced. The appendix offers a short introduction to the theory of viscosity solutions of firstorder Hamilton–Jacobi equations.
 Dewey number
 515.353
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 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

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 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 2183
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Context of Dynamical and Geometric Aspects of HamiltonJacobi and Linearized MongeAmpère Equations : VIASM 2016Work of
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