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Functional analytic methods for partial differential equations

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  • "Combining both classical and current methods of analysis, this valuable resource presents clear, detailed discussions on the application of functional analytic methods in partial differential equations. Examining evolution equations in Banach spaces, Functional Analytic Methods for Partial Differential Equations furnishes a slightly simplified, self-contained proof of Agmon-Douglis-Nirenberg's L[superscript p] estimates for boundary value problems ... addresses the theory of function spaces, including interpolation inequalities, the Galgliardo-Nirenberg inequality, and Sobolev's imbedding theorems ... describes adjoint boundary value problems ... offers recent results on parabolic and hyperbolic equations ... illustrates the solvability of retarded functional differential equations in Hilbert spaces ... gives results on control problems ... and much more."

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  • "Functional analytic methods for partial differential equations"