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

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

It takes the average reader 9 hours and 6 minutes to read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II 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 quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet boundary conditions, here they are extended to Riemannian manifolds and more general boundary conditions. The book begins with the study of Lopatinskii-Sapiro boundary conditions for the Laplace-Beltrami operator, followed by derivation of Carleman estimates for this operator on Riemannian manifolds. Applications of Carleman estimates are explored next: quantified unique continuation issues, a proof of the logarithmic stabilization of the boundary-damped wave equation, and a spectral inequality with general boundary conditions to derive the null-controllability result for the heat equation. Two additional chapters consider some more advanced results on Carleman estimates. The final part of the book is devoted to exposition of some necessary background material: elements of differential and Riemannian geometry, and Sobolev spaces and Laplace problems on Riemannian manifolds.

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

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II by Jérôme Le Rousseau is 542 pages long, and a total of 136,584 words.

This makes it 183% the length of the average book. It also has 167% more words than the average book.

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

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 26 minutes to read Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II aloud.

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

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II 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 II?

Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II 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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