Beyond Partial Differential Equations

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Beyond Partial Differential Equations / Horst Reinhard Beyer, J.M Morel Cachan, F. Takens Groningen, B. Teissier Paris

資料種別:

電子ブック

出版情報:

SpringerLink Books - AutoHoldings
Springer Berlin Heidelberg, 2007

著者名:

ISBN:

9783540711285 [3540711287]
9786610817535 [6610817537]

書誌ID:

OB00571018

子書誌情報

フルテキスト

所蔵情報

書誌詳細

言語:

英語

目次情報:

Conventions / 1：

Mathematical Introduction / 2：

Quantum Theory / 2.1：

Wave Equations / 2.2：

Prerequisites / 3：

Linear Operators in Banach Spaces / 3.1：

Weak Integration of Banach Space-Valued Maps / 3.2：

Exponentials of Bounded Linear Operators / 3.3：

Strongly Continuous Semigroups / 4：

Elementary Properties / 4.1：

Characterizations / 4.2：

An Integral Representation in the Complex Case / 4.3：

Perturbation Theorems / 4.4：

Strongly Continuous Groups / 4.5：

Associated Inhomogeneous Initial Value Problems / 4.6：

Examples of Generators of Strongly Continuous Semigroups / 5：

The Ordinary Derivative on a Bounded Interval / 5.1：

Linear Stability of Ideal Rotating Couette Flows / 5.2：

Outgoing Boundary Conditions / 5.3：

Damped Wave Equations / 5.4：

Autonomous Linear Hermitian Hyperbolic Systems / 5.5：

Intertwining Relations, Operator Homomorphisms / 6：

Semigroups and Their Restrictions / 6.1：

Intertwining Relations / 6.2：

Nonexpansive Homomorphisms / 6.3：

Examples of Constrained Systems / 7：

1-D Wave Equations with Sommerfeld Boundary Conditions / 7.1：

1-D Wave Equations with Engquist-Majda Boundary Conditions / 7.2：

Maxwell's Equations in Flat Space / 7.3：

Kernels, Chains, and Evolution Operators / 8：

A Convolution Calculus with Operator-Valued Kernels / 8.1：

Chains / 8.2：

Juxtaposition of Chains / 8.3：

Finitely Generated Chains / 8.4：

Evolution Operators / 8.5：

Stable Families of Generators / 8.6：

The Linear Evolution Equation / 9：

Examples of Linear Evolution Equations / 10：

Scalar Fields in the Gravitational Field of a Spherical Black Hole / 10.1：

Non-Autonomous Linear Hermitian Hyperbolic Systems / 10.2：

The Quasi-Linear Evolution Equation / 11：

Examples of Quasi-Linear Evolution Equations / 12：

A Generalized Inviscid Burgers' Equation / 12.1：

Quasi-Linear Hermitian Hyperbolic Systems / 12.2：

Appendix / 13：

References

Index of Notation

Index of Terminology

Conventions / 1：

Mathematical Introduction / 2：

Quantum Theory / 2.1：

Wave Equations / 2.2：

Prerequisites / 3：

Linear Operators in Banach Spaces / 3.1：

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