BOOK
Locally Convex Spaces and Linear Partial Differential Equations
This monograph investigates the deep, structural relationship between locally convex spaces and the theory of linear partial differential equations (PDEs). Trèves demonstrates how abstract functional analysis—specifically the duality theory of topological vector spaces—provides the necessary framework to solve fundamental problems in PDEs, such as existence, approximation, and regularity of solutions. It is a highly specialized work that bridges the gap between pure functional analysis and applied mathematical physics.
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