《正則半群和非橢圓微分運算元（英文版）》是2014年科學出版社出版的圖書，作者是Zheng Quan、Li Miao。
基本介紹
- 書名：正則半群和非橢圓微分運算元（英文版）
- 作者：Zheng Quan，Li Miao
- ISBN：9787030395948
- 頁數：220
- 定價：￥68.00
- 出版社：科學出版社
- 出版時間：2014-02-01
- 裝幀：平裝
- 開本：32開
內容簡介,目錄,
內容簡介
In this book we report on the semigroup approach to non-elliptic differential opera- tors. which was developed in the last two decades. A detailed introduction to the theory of regularized semigroups is provided. And then we give the applications of regularized semigroups to non-elliptic differential operators with constant coeffi-cients or time-dependent coefficients，組拳她踏 parabolic systems， correct systems， abstract differential operators and pseudo differential operators. We also give the very recent use of regularized semigroups to Schrodinger operators.
目錄
Chapter 1 Regularized Semigroups
1.1 Definitions and properties
1.2 Generation theorems
1.3 Interpolation and extrapolation
1.4 Classes of regularized semigroups
1.5 Relationship to abstract Cauchy problems
陵講踏 1.6 Notes
Chapter 2 Perturbations, Approximations and Representations...
2.1 Perturbation theorems
贈旋戶2.2 Approximation theorems
2.3 Representation and product formulas
2.4 Regularized cosine functions
采檔2.5 Notes
Chapter 3 Integrated Semigroups
3.1 Properties and characterizations
3.2 Perturbations of integrated semigroups
3.3 Relationship to regularized semigroups
3.4 Notes
Chapter 4 Abstract Differential Operators with Constant Coefficients
4.1 A functional calculus
夜糠斷達 4.2 Strongly and weakly elliptic operators
4.3 Coercive operators
4.4 Operators with coercive real parts
4.5 Notes
Chapter 5 Applications to Partial Differential Operators-..
5.1 General results
5.2 Special cases and examples
5.3 Resolvent sets and hypoelliptic operators
5.4 Comparison of results
5.5 Notes
Chapter 6 Abstract Differential Operators with Time-dependentCoefficients
6.1 Evolution families
6.2 Evolution equations
頁刪愉 6.3 Applications to partial differential equations
滲諒凶6.4 Notes
Chapter 7 Parabolic Correct and Hyperbolic Systems
7.1 Parabolic and correct systems
7.2 Parabolic and correct systems: continue
7.3 Hyperbolic systems
7.4 Notes
Chapter 8 SchrSdinger Equations
8.1 Convex hypersurfaces of finite type
8.2 Lp-Lq estimates for free Schrodinger equations
8.3 Lp estimates for SchrSdinger equations
8.4 Notes and Comments
Bibliography
Appendix A Vector-valued Laplace Transforms
Appendix B Fractional Power of Closed Operators
Appendix C Fourier Multipliers
Appendix D C0-semigroups
List of Symbols and Abbreviations
Index
1.1 Definitions and properties
1.2 Generation theorems
1.3 Interpolation and extrapolation
1.4 Classes of regularized semigroups
1.5 Relationship to abstract Cauchy problems
陵講踏 1.6 Notes
Chapter 2 Perturbations, Approximations and Representations...
2.1 Perturbation theorems
贈旋戶2.2 Approximation theorems
2.3 Representation and product formulas
2.4 Regularized cosine functions
采檔2.5 Notes
Chapter 3 Integrated Semigroups
3.1 Properties and characterizations
3.2 Perturbations of integrated semigroups
3.3 Relationship to regularized semigroups
3.4 Notes
Chapter 4 Abstract Differential Operators with Constant Coefficients
4.1 A functional calculus
夜糠斷達 4.2 Strongly and weakly elliptic operators
4.3 Coercive operators
4.4 Operators with coercive real parts
4.5 Notes
Chapter 5 Applications to Partial Differential Operators-..
5.1 General results
5.2 Special cases and examples
5.3 Resolvent sets and hypoelliptic operators
5.4 Comparison of results
5.5 Notes
Chapter 6 Abstract Differential Operators with Time-dependentCoefficients
6.1 Evolution families
6.2 Evolution equations
頁刪愉 6.3 Applications to partial differential equations
滲諒凶6.4 Notes
Chapter 7 Parabolic Correct and Hyperbolic Systems
7.1 Parabolic and correct systems
7.2 Parabolic and correct systems: continue
7.3 Hyperbolic systems
7.4 Notes
Chapter 8 SchrSdinger Equations
8.1 Convex hypersurfaces of finite type
8.2 Lp-Lq estimates for free Schrodinger equations
8.3 Lp estimates for SchrSdinger equations
8.4 Notes and Comments
Bibliography
Appendix A Vector-valued Laplace Transforms
Appendix B Fractional Power of Closed Operators
Appendix C Fourier Multipliers
Appendix D C0-semigroups
List of Symbols and Abbreviations
Index
