Boundary Value Problems for Transport Equations

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This text develops a functional approach for boundary value problems and includes the following components; the introduction of special functional spaces; the definition of spaces for boundary values; the analysis of the problems of trace existence; and the extension of functions with preservation of classes of regularity. This approach proves the existence of generalized solutions to problems concerned on the basis of those functional spaces introduced and also proper variational formulations of problems. The book also presents various applications of the theory developed.