How Long to Read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I

How Long Does it Take to Read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I?

It takes the average reader 6 hours and 50 minutes to read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I by Jérôme Le Rousseau

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

Description

This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to Riemannian manifolds. The first three chapters illustrate the derivation of Carleman estimates using pseudo-differential calculus with a large parameter. Continuation issues are then addressed, followed by a proof of the logarithmic stabilization of the damped wave equation by means of two alternative proofs of the resolvent estimate for the generator of a damped wave semigroup. The authors then discuss null-controllability of the heat equation, its equivalence with observability, and how the spectral inequality allows one to either construct a control function or prove the observability inequality. The final part of the book is devoted to the exposition of some necessary background material: the theory of distributions, invariance under change of variables, elliptic operators with Dirichlet data and associated semigroup, and some elements from functional analysis and semigroup theory.

How long is Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I?

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I by Jérôme Le Rousseau is 410 pages long, and a total of 102,500 words.

This makes it 138% the length of the average book. It also has 125% more words than the average book.

How Long Does it Take to Read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 20 minutes to read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I aloud.

What Reading Level is Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I?

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I 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.

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

Where Can I Buy Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I?

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume I by Jérôme Le Rousseau 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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