It takes the average reader 9 hours to read Vector-valued Laplace Transforms and Cauchy Problems by Wolfgang Arendt
Assuming a reading speed of 250 words per minute. Learn more
This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are studied. Diverse applications to partial differential equations are given. The book contains an introduction to the Bochner integral and several appendices on background material. It is addressed to students and researchers interested in evolution equations, Laplace and Fourier transforms, and functional analysis. The second edition contains detailed notes on the developments in the last decade. They include, for instance, a new characterization of well-posedness of abstract wave equations in Hilbert space due to M. Crouzeix. Moreover new quantitative results on asymptotic behaviour of Laplace transforms have been added. The references are updated and some errors have been corrected.
Vector-valued Laplace Transforms and Cauchy Problems by Wolfgang Arendt is 540 pages long, and a total of 135,000 words.
This makes it 182% the length of the average book. It also has 165% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 12 hours and 17 minutes to read Vector-valued Laplace Transforms and Cauchy Problems aloud.
Vector-valued Laplace Transforms and Cauchy Problems 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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