Linear and Quasilinear Parabolic Problems Volume I: Abstract Linear Theory
In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of...
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| Format: | eBook |
| Language: | English |
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Basel
Birkhäuser
1995, 1995
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| Edition: | 1st ed. 1995 |
| Series: | Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Notations and Conventions
- 1 Topological Spaces
- 2 Locally Convex Spaces
- 3 Complexifications
- 4 Unbounded Linear Operators
- 5 General Conventions
- I Generators and Interpolation
- 1 Generators of Analytic Semigroups
- 2 Interpolation Functors
- II Cauchy Problems and Evolution Operators
- 1 Linear Cauchy Problems
- 2 Parabolic Evolution Operators
- 3 Linear Volterra Integral Equations
- 4 Existence of Evolution Operators
- 5 Stability Estimates
- 6 Invariance and Positivity
- III Maximal Regularity
- 1 General Principles
- 2 Maximal Hölder Regularity
- 3 Maximal Continuous Regularity
- 4 Maximal Sobolev Regularity
- IV Variable Domains
- 1 Higher Regularity
- 2 Constant Interpolation Spaces
- 3 Maximal Regularity
- V Scales of Banach Spaces
- 1 Banach Scales
- 2 Evolution Equations in Banach Scales
- List of Symbols