TY - BOOK ID - 212225 TI - Partial Differential Equations 2 : Functional Analytic Methods PY - 2006 SN - 3540344624 3540344616 PB - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, DB - UniCat KW - Differential equations, Partial KW - Integral representations KW - Functional analysis KW - Functional calculus KW - Calculus of variations KW - Functional equations KW - Integral equations KW - Representations, Integral KW - Algebraic number theory KW - Crystallography, Mathematical KW - Representations of groups KW - Partial differential equations KW - Differential equations, partial. KW - Functional analysis. KW - Mathematical physics. KW - Partial Differential Equations. KW - Functional Analysis. KW - Mathematical Methods in Physics. KW - Physical mathematics KW - Physics KW - Mathematics KW - Partial differential equations. KW - Physics. KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Dynamics UR - https://www.unicat.be/uniCat?func=search&query=sysid:212225 AB - This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods. In this second volume the following topics are treated: Solvability of operator equations in Banach spaces, Linear operators in Hilbert spaces and spectral theory, Schauder's theory of linear elliptic differential equations, Weak solutions of differential equations, Nonlinear partial differential equations and characteristics, Nonlinear elliptic systems with differential-geometric applications. While partial differential equations are solved via integral representations in the preceding volume, functional analytic methods are used in this volume. This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others. ER -