How Long to Read Linear Second Order Elliptic Operators

How Long Does it Take to Read Linear Second Order Elliptic Operators?

It takes the average reader 6 hours and 4 minutes to read Linear Second Order Elliptic Operators by Julián López-Gómez

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

Description

The main goal of the book is to provide a comprehensive and self-contained proof of the, relatively recent, theorem of characterization of the strong maximum principle due to Molina-Meyer and the author, published in Diff. Int. Eqns. in 1994, which was later refined by Amann and the author in a paper published in J. of Diff. Eqns. in 1998. Besides this characterization has been shown to be a pivotal result for the development of the modern theory of spatially heterogeneous nonlinear elliptic and parabolic problems; it has allowed us to update the classical theory on the maximum and minimum principles by providing with some extremely sharp refinements of the classical results of Hopf and Protter-Weinberger. By a celebrated result of Berestycki, Nirenberg and Varadhan, Comm. Pure Appl. Maths. in 1994, the characterization theorem is partially true under no regularity constraints on the support domain for Dirichlet boundary conditions. Instead of encyclopedic generality, this book pays special attention to completeness, clarity and transparency of its exposition so that it can be taught even at an advanced undergraduate level. Adopting this perspective, it is a textbook; however, it is simultaneously a research monograph about the maximum principle, as it brings together for the first time in the form of a book, the most paradigmatic classical results together with a series of recent fundamental results scattered in a number of independent papers by the author of this book and his collaborators. Chapters 3, 4, and 5 can be delivered as a classical undergraduate, or graduate, course in Hilbert space techniques for linear second order elliptic operators, and Chaps. 1 and 2 complete the classical results on the minimum principle covered by the paradigmatic textbook of Protter and Weinberger by incorporating some recent classification theorems of supersolutions by Walter, 1989, and the author, 2003. Consequently, these five chapters can be taught at an undergraduate, or graduate, level. Chapters 6 and 7 study the celebrated theorem of Krein–Rutman and infer from it the characterizations of the strong maximum principle of Molina-Meyer and Amann, in collaboration with the author, which have been incorporated to a textbook by the first time here, as well as the results of Chaps. 8 and 9, polishing some recent joint work of Cano-Casanova with the author. Consequently, the second half of the book consists of a more specialized monograph on the maximum principle and the underlying principal eigenvalues.

How long is Linear Second Order Elliptic Operators?

Linear Second Order Elliptic Operators by Julián López-Gómez is 356 pages long, and a total of 91,136 words.

This makes it 120% the length of the average book. It also has 111% more words than the average book.

How Long Does it Take to Read Linear Second Order Elliptic Operators Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 18 minutes to read Linear Second Order Elliptic Operators aloud.

What Reading Level is Linear Second Order Elliptic Operators?

Linear Second Order Elliptic Operators 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 Linear Second Order Elliptic Operators?

Linear Second Order Elliptic Operators by Julián López-Gómez 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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