TY  - BOOK
AU  - Beyer,Horst Reinhard
TI  - Beyond partial differential equations: on linear and quasi-linear abstract hyperbolic evolution equations 
T2  - Lecture notes in mathematics,
SN  - 9783540711292
AV  - QA374 .B49 2007eb
U1  - 515/.353 22
PY  - 2007///
CY  - Berlin
PB  - Springer
KW  - Differential equations, Partial
KW  - Differential equations, Linear
KW  - Équations aux dérivées partielles
KW  - Équations différentielles linéaires
KW  - MATHEMATICS
KW  - Differential Equations
KW  - Partial
KW  - bisacsh
KW  - cct
KW  - Ecuaciones diferenciales lineales
KW  - embne
KW  - Ecuaciones de física matemática
KW  - embucm
KW  - fast
KW  - Partiële differentiaalvergelijkingen
KW  - gtt
KW  - Evolutionaire vergelijkingen
N1  - Includes bibliographical references (pages 269-278)-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; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2011
N2  - "The 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."--Jacket
UR  - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-540-71129-2
ER  -