Optimal existence and uniqueness theory for the fractional heat equation

DOI10.1016/j.na.2016.08.027zbMath1364.35416arXiv1606.00873OpenAlexW2963565003MaRDI QIDQ515922

Matteo Bonforte, Yannick Sire, Juan Luis Vazquez

Publication date: 17 March 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00873

zbMATH Keywords

pointwise estimates existence and uniqueness theory fractional heat equation Harnack inequalities optimal data

Mathematics Subject Classification ID

Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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