Beyond partial differential equations : on linear and quasi-linear abstract hyperbolic evolution equations
Author(s)
Bibliographic Information
Beyond partial differential equations : on linear and quasi-linear abstract hyperbolic evolution equations
（Lecture notes in mathematics, 1898）
Springer, c2007
Available at / 58 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1898200001576806
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Includes bibliographical references (p. [269]-278) and indexes
Description and Table of Contents
Description
This book introduces 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, with only some examples requiring more specialized knowledge from the spectral theory of linear, self-adjoint operators in Hilbert spaces. Emphasis is placed on equations of the hyperbolic type which are less often treated in the literature.
Table of Contents
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.
by "Nielsen BookData"