How Long to Read Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces

By Luigi Ambrosio

How Long Does it Take to Read Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces?

It takes the average reader 2 hours and 1 minute to read Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces by Luigi Ambrosio

Assuming a reading speed of 250 words per minute. Learn more

Description

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convexity when one investigates the convexity properties of N-dimensional entropies. On the side of diffusion semigroups and evolution variational inequalities, the authors' new approach uses the nonlinear diffusion semigroup induced by the N-dimensional entropy, in place of the heat flow. Under suitable assumptions (most notably the quadraticity of Cheeger's energy relative to the metric measure structure) both approaches are shown to be equivalent to the strong CD∗(K,N) condition of Bacher-Sturm.

How long is Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces?

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces by Luigi Ambrosio is 121 pages long, and a total of 30,371 words.

This makes it 41% the length of the average book. It also has 37% more words than the average book.

How Long Does it Take to Read Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 45 minutes to read Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces aloud.

What Reading Level is Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces?

Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces is suitable for students ages 10 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.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces?

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