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An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations Read chapter Read first chapter

2013 | OriginalPaper | Chapter

Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives

Authors : Susanne Beckers, Masahiro Yamamoto

Published in: Control and Optimization with PDE Constraints

Publisher: Springer Basel

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Abstract

We consider an initial/boundary value problem for linear diffusion equation with multiple fractional time derivatives and prove the regularity of the solution. The regularity argument implies the unique existence of the solution.

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Metadata
Title
Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives
Authors
Susanne Beckers
Masahiro Yamamoto
Copyright Year
2013
Publisher
Springer Basel
Book
Control and Optimization with PDE Constraints

Print ISBN: 978-3-0348-0630-5

Electronic ISBN: 978-3-0348-0631-2

Copyright Year: 2013

DOI
https://doi.org/10.1007/978-3-0348-0631-2_3

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