E-Book, Englisch, Band 1898, 283 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Beyer Beyond Partial Differential Equations
2007
ISBN: 978-3-540-71129-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
On Linear and Quasi-Linear Abstract Hyperbolic Evolution Equations
E-Book, Englisch, Band 1898, 283 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-71129-2
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
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Weitere Infos & Material
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.
