03355nam 2200625 450 991048424130332120220504201537.01-280-81753-497866108175353-540-71129-510.1007/978-3-540-71129-2(CKB)1000000000282743(EBL)3036590(SSID)ssj0000110990(PQKBManifestationID)11139212(PQKBTitleCode)TC0000110990(PQKBWorkID)10074723(PQKB)10720041(DE-He213)978-3-540-71129-2(MiAaPQ)EBC3036590(MiAaPQ)EBC6703031(Au-PeEL)EBL6703031(PPN)123160715(EXLCZ)99100000000028274320220504d2007 uy 0engur|n|---|||||txtccrBeyond partial differential equations on linear and quasi-linear abstract hyperbolic evolution equations /Horst Reinhard Beyer1st ed. 2007.Berlin, Heidelberg :Springer-Verlag,[2007]©20071 online resource (290 p.)Lecture Notes in Mathematics ;1898Description based upon print version of record.3-540-71128-7 Includes bibliographical references and indexes.Conventions -- Mathematical Introduction -- Prerequisites -- Strongly Continuous Semigroups -- Examples of Generators of Strongly Continuous Semigroups -- Intertwining Relations, Operator Homomorphisms -- Examples of Constrained Systems -- Kernels, Chains, and Evolution Operators -- The Linear Evolution Equation -- Examples of Linear Evolution Equations -- The Quasi-Linear Evolution Equation -- Examples of Quasi-Linear Evolution Equations.The present volume is self-contained and introduces to the treatment of linear and nonlinear (quasi-linear) abstract evolution equations by methods from the theory of strongly continuous semigroups. The theoretical part is accessible to graduate students with basic knowledge in functional analysis. Only some examples require more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Particular stress is on equations of the hyperbolic type since considerably less often treated in the literature. Also, evolution equations from fundamental physics need to be compatible with the theory of special relativity and therefore are of hyperbolic type. Throughout, detailed applications are given to hyperbolic partial differential equations occurring in problems of current theoretical physics, in particular to Hermitian hyperbolic systems. This volume is thus also of interest to readers from theoretical physics.Lecture notes in mathematics (Springer-Verlag) ;1898.Differential equations, PartialDifferential equations, LinearDifferential equations, Partial.Differential equations, Linear.515.353Beyer Horst Reinhard472506MiAaPQMiAaPQMiAaPQBOOK9910484241303321Beyond partial differential equations230607UNINA