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4. Boundary Behavior Of Solutions Of Space-Fractional Equations
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Alessandro Carbotti
Abstract
In this chapter, we give precise asymptotics for the boundary behavior of solutions of space-fractional equations. The cases of the eigenfunctions and of the Dirichlet problem with vanishing forcing term will be studied in detail. To this end, we will also exploit useful representation formulas of the solutions in terms of suitable Green functions.
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Abstract
In this chapter, we give precise asymptotics for the boundary behavior of solutions of space-fractional equations. The cases of the eigenfunctions and of the Dirichlet problem with vanishing forcing term will be studied in detail. To this end, we will also exploit useful representation formulas of the solutions in terms of suitable Green functions.
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Chapters in this book
- Frontmatter I
- Preface V
- Acknowledgment IX
- Contents XI
- 1. Introduction: Why Fractional Derivatives? 1
- 2. Main Results 45
- 3. Boundary Behavior Of Solutions Of Time-Fractional Equations 51
- 4. Boundary Behavior Of Solutions Of Space-Fractional Equations 57
- 5. Proof Of The Main Result 87
- A Some Applications 119
- Bibliography 123
- Index 129
Chapters in this book
- Frontmatter I
- Preface V
- Acknowledgment IX
- Contents XI
- 1. Introduction: Why Fractional Derivatives? 1
- 2. Main Results 45
- 3. Boundary Behavior Of Solutions Of Time-Fractional Equations 51
- 4. Boundary Behavior Of Solutions Of Space-Fractional Equations 57
- 5. Proof Of The Main Result 87
- A Some Applications 119
- Bibliography 123
- Index 129
