It takes the average reader 7 hours and 13 minutes to read Qualitative Theory of Parabolic Equations, Part 1 by T. I. Zelenyak
Assuming a reading speed of 250 words per minute. Learn more
In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained.
Qualitative Theory of Parabolic Equations, Part 1 by T. I. Zelenyak is 425 pages long, and a total of 108,375 words.
This makes it 143% the length of the average book. It also has 132% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 9 hours and 52 minutes to read Qualitative Theory of Parabolic Equations, Part 1 aloud.
Qualitative Theory of Parabolic Equations, Part 1 is suitable for students ages 12 and up.
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