This work presents both the abstract theory of semigroups of linear operators and their practical applicability in partial differential equations, while emphasizing their importance as a necessary discipline in functional analysis and differential equations. The book aims to strike a balance between offering an over-simplified explanation and an incomprehensible treatise and uses the final two chapters in particular to demonstrate how the theory can be applied to partial differential equations.
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This work presents both the abstract theory of semigroups of linear operators and their practical applicability in partial differential equations, while emphasizing their importance as a necessary discipline in functional analysis and differential equations. The book aims to strike a balance between offering an over-simplified explanation and an incomprehensible treatise and uses the final two chapters in particular to demonstrate how the theory can be applied to partial differential equations.
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