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Local Density of Solutions to Fractional Equations

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Presents an original and important result in the analysis of fractional equations Covers the necessary prerequisites and includes applications of the theory Of interest to graduate students and researchers in mathematical analysis and PDE's.

Author(s): Carbotti Alessandro, Dipierro Serena, Valdinoci Enrico
Series: De Gruyter Studies in Mathematics 74
Publisher: De Gruyter
Year: 2019

Language: English
Pages: 144

Cover......Page 1
De Gruyter Studies in
Mathematics......Page 3
Local Density of Solutions to Fractional Equations......Page 5
© 2019......Page 6
Preface......Page 7
Acknowledgment......Page 11
Contents
......Page 13
1 Introduction: why fractional derivatives?......Page 15
2 Main results......Page 59
3 Boundary behavior of solutions of time-fractional
equations......Page 65
4 Boundary behavior of solutions of space-fractional
equations......Page 71
5 Proof of the main result......Page 101
A Some applications
......Page 133
Bibliography......Page 137
Index......Page 143