It takes the average reader 3 hours and 21 minutes to read Elliptic Regularity Theory by Lisa Beck
Assuming a reading speed of 250 words per minute. Learn more
These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form. After a short review of some classical results on everywhere regularity for scalar-valued weak solutions, the presentation focuses on vector-valued weak solutions to a system of several coupled equations. In the vectorial case, weak solutions may have discontinuities and so are expected, in general, to be regular only outside of a set of measure zero. Several methods are presented concerning the proof of such partial regularity results, and optimal regularity is discussed. Finally, a short overview is given on the current state of the art concerning the size of the singular set on which discontinuities may occur. The notes are intended for graduate and postgraduate students with a solid background in functional analysis and some familiarity with partial differential equations; they will also be of interest to researchers working on related topics.
Elliptic Regularity Theory by Lisa Beck is 201 pages long, and a total of 50,451 words.
This makes it 68% the length of the average book. It also has 62% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 4 hours and 35 minutes to read Elliptic Regularity Theory aloud.
Elliptic Regularity Theory 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.
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