It takes the average reader 3 hours and 51 minutes to read Linear and Quasilinear Parabolic Systems: Sobolev Space Theory by David Hoff
Assuming a reading speed of 250 words per minute. Learn more
This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
Linear and Quasilinear Parabolic Systems: Sobolev Space Theory by David Hoff is 226 pages long, and a total of 57,856 words.
This makes it 76% the length of the average book. It also has 71% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 16 minutes to read Linear and Quasilinear Parabolic Systems: Sobolev Space Theory aloud.
Linear and Quasilinear Parabolic Systems: Sobolev Space 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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