How Long to Read Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

How Long Does it Take to Read Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems?

It takes the average reader 4 hours and 20 minutes to read Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems by Mourad Bellassoued

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

Description

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. These types of inverse problems include coefficient inverse problems of determining physical parameters in inhomogeneous media that appear in many applications related to electromagnetism, elasticity, and related phenomena. Although the methodology was created in 1981 by Bukhgeim and Klibanov, its comprehensive development has been accomplished only recently. In spite of the wide applicability of the method, there are few monographs focusing on combined accounts of Carleman estimates and applications to inverse problems. The aim in this book is to fill that gap. The basic tool is Carleman estimates, the theory of which has been established within a very general framework, so that the method using Carleman estimates for inverse problems is misunderstood as being very difficult. The main purpose of the book is to provide an accessible approach to the methodology. To accomplish that goal, the authors include a direct derivation of Carleman estimates, the derivation being based essentially on elementary calculus working flexibly for various equations. Because the inverse problem depends heavily on respective equations, too general and abstract an approach may not be balanced. Thus a direct and concrete means was chosen not only because it is friendly to readers but also is much more relevant. By practical necessity, there is surely a wide range of inverse problems and the method delineated here can solve them. The intention is for readers to learn that method and then apply it to solving new inverse problems.

How long is Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems?

Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems by Mourad Bellassoued is 260 pages long, and a total of 65,000 words.

This makes it 88% the length of the average book. It also has 79% more words than the average book.

How Long Does it Take to Read Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 55 minutes to read Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems aloud.

What Reading Level is Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems?

Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems 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 Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems?

Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems by Mourad Bellassoued is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems by Mourad Bellassoued on Amazon click the button below.