How Long to Read Implicit Partial Differential Equations

By Bernard Dacorogna

How Long Does it Take to Read Implicit Partial Differential Equations?

It takes the average reader 4 hours and 36 minutes to read Implicit Partial Differential Equations by Bernard Dacorogna

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

Description

Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.

How long is Implicit Partial Differential Equations?

Implicit Partial Differential Equations by Bernard Dacorogna is 273 pages long, and a total of 69,069 words.

This makes it 92% the length of the average book. It also has 84% more words than the average book.

How Long Does it Take to Read Implicit Partial Differential Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 17 minutes to read Implicit Partial Differential Equations aloud.

What Reading Level is Implicit Partial Differential Equations?

Implicit Partial Differential Equations 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 Implicit Partial Differential Equations?

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