It takes the average reader 3 hours and 55 minutes to read Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations by Hiroyoshi Mitake
Assuming a reading speed of 250 words per minute. Learn more
Consisting of two parts, the first part of this volume is an essentially self-contained 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 semi-geostrophic 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 first-order Hamilton–Jacobi equations.
Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations by Hiroyoshi Mitake is 233 pages long, and a total of 58,949 words.
This makes it 79% the length of the average book. It also has 72% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 22 minutes to read Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations aloud.
Dynamical and Geometric Aspects of Hamilton-Jacobi and Linearized Monge-Ampère Equations is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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