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Concise Guide To Semigroups And Evolution Equations, A
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This work aims to be a simple and concise introduction to the theory of semigroups and of evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory) and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces. Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendixes (so that the only prerequisites to read the book are classical differential and integral calculus).
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