How Long to Read Nonlinear Elliptic Equations and Nonassociative Algebras

How Long Does it Take to Read Nonlinear Elliptic Equations and Nonassociative Algebras?

It takes the average reader 4 hours to read Nonlinear Elliptic Equations and Nonassociative Algebras by Nikolai Nadirashvili

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

Description

This book presents applications of noncommutative and nonassociative algebras to constructing unusual (nonclassical and singular) solutions to fully nonlinear elliptic partial differential equations of second order. The methods described in the book are used to solve a longstanding problem of the existence of truly weak, nonsmooth viscosity solutions. Moreover, the authors provide an almost complete description of homogeneous solutions to fully nonlinear elliptic equations. It is shown that even in the very restricted setting of "Hessian equations", depending only on the eigenvalues of the Hessian, these equations admit homogeneous solutions of all orders compatible with known regularity for viscosity solutions provided the space dimension is five or larger. To the contrary, in dimension four or less the situation is completely different, and our results suggest strongly that there are no nonclassical homogeneous solutions at all in dimensions three and four. Thus this book gives a complete list of dimensions where nonclassical homogeneous solutions to fully nonlinear uniformly elliptic equations do exist; this should be compared with the situation of, say, ten years ago when the very existence of nonclassical viscosity solutions was not known.

How long is Nonlinear Elliptic Equations and Nonassociative Algebras?

Nonlinear Elliptic Equations and Nonassociative Algebras by Nikolai Nadirashvili is 240 pages long, and a total of 60,000 words.

This makes it 81% the length of the average book. It also has 73% more words than the average book.

How Long Does it Take to Read Nonlinear Elliptic Equations and Nonassociative Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 27 minutes to read Nonlinear Elliptic Equations and Nonassociative Algebras aloud.

What Reading Level is Nonlinear Elliptic Equations and Nonassociative Algebras?

Nonlinear Elliptic Equations and Nonassociative Algebras 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 Nonlinear Elliptic Equations and Nonassociative Algebras?

Nonlinear Elliptic Equations and Nonassociative Algebras by Nikolai Nadirashvili 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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