Book contents
- Frontmatter
- Contents
- List of Notations
- 1 Introduction
- 2 The Bounded Reaction-Diffusion Cauchy Problem
- 3 Maximum Principles
- 4 Diffusion Theory
- 5 Convolution Functions, Function Spaces, Integral Equations and Equivalence Lemmas
- 6 The Bounded Reaction-Diffusion Cauchy Problem with f ∊ L
- 7 The Bounded Reaction-Diffusion Cauchy Problem with f ∊ Lu
- 8 The Bounded Reaction-Diffusion Cauchy Problem with f ∊ Hα
- 9 Application to Specific Problems
- 10 Extensions and Concluding Remarks
- References
- Index
5 - Convolution Functions, Function Spaces, Integral Equations and Equivalence Lemmas
Published online by Cambridge University Press: 05 August 2015
Book contents
- Frontmatter
- Contents
- List of Notations
- 1 Introduction
- 2 The Bounded Reaction-Diffusion Cauchy Problem
- 3 Maximum Principles
- 4 Diffusion Theory
- 5 Convolution Functions, Function Spaces, Integral Equations and Equivalence Lemmas
- 6 The Bounded Reaction-Diffusion Cauchy Problem with f ∊ L
- 7 The Bounded Reaction-Diffusion Cauchy Problem with f ∊ Lu
- 8 The Bounded Reaction-Diffusion Cauchy Problem with f ∊ Hα
- 9 Application to Specific Problems
- 10 Extensions and Concluding Remarks
- References
- Index
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- The Cauchy Problem for Non-Lipschitz Semi-Linear Parabolic Partial Differential Equations , pp. 37 - 58Publisher: Cambridge University PressPrint publication year: 2015