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Optimal existence and uniqueness theory for the fractional heat equation

Article ID Journal Published Year Pages File Type
5024614 Nonlinear Analysis: Theory, Methods & Applications 2017 27 Pages PDF
Abstract

We construct a theory of existence, uniqueness and regularity of solutions for the fractional heat equation ∂tu+(−Δ)su=0, 0

Keywords
35A0235A0135K99Pointwise estimatesHarnack inequalitiesFractional heat equation
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Optimal existence and uniqueness theory for the fractional heat equation
Authors
Matteo Bonforte, Yannick Sire, Juan Luis Vázquez,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
Related Categories
35A02
35A01
35K99
Pointwise estimates
Harnack inequalities
Fractional heat equation
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