How Long to Read Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I

How Long Does it Take to Read Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I?

It takes the average reader 1 hour and 10 minutes to read Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I by Atsushi Yagi

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

Description

The classical Łojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Łojasiewicz–Simon gradient inequality. This book presents a unified method to show asymptotic convergence of solutions to a stationary solution for abstract parabolic evolution equations of the gradient form by utilizing this Łojasiewicz–Simon gradient inequality. In order to apply the abstract results to a wider class of concrete nonlinear parabolic equations, the usual Łojasiewicz–Simon inequality is extended, which is published here for the first time. In the second version, these abstract results are applied to reaction–diffusion equations with discontinuous coefficients, reaction–diffusion systems, and epitaxial growth equations. The results are also applied to the famous chemotaxis model, i.e., the Keller–Segel equations even for higher-dimensional ones.

How long is Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I?

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I by Atsushi Yagi is 68 pages long, and a total of 17,544 words.

This makes it 23% the length of the average book. It also has 21% more words than the average book.

How Long Does it Take to Read Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I Aloud?

The average oral reading speed is 183 words per minute. This means it takes 1 hour and 35 minutes to read Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I aloud.

What Reading Level is Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I?

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I is suitable for students ages 8 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 Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I?

Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality I by Atsushi Yagi is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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