It takes the average reader 9 hours and 9 minutes to read Theory and Applications of Abstract Semilinear Cauchy Problems by Pierre Magal
Assuming a reading speed of 250 words per minute. Learn more
Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.
Theory and Applications of Abstract Semilinear Cauchy Problems by Pierre Magal is 543 pages long, and a total of 137,379 words.
This makes it 183% the length of the average book. It also has 168% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 12 hours and 30 minutes to read Theory and Applications of Abstract Semilinear Cauchy Problems aloud.
Theory and Applications of Abstract Semilinear Cauchy Problems is suitable for students ages 12 and up.
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