Well-posedness results for a class of semilinear time-fractional diffusion equations

Bruno de Andrade; Vo Van Au; Donal O’Regan; Nguyen Huy Tuan

doi:10.1007/s00033-020-01348-y

Well-posedness results for a class of semilinear time-fractional diffusion equations

Bruno de Andrade
, Vo Van Au
, Donal O’Regan
, Nguyen Huy Tuan

Mathematics

Federal University of Sergipe
Duy Tan University
University of Science Ho Chi Minh City
Vietnam National University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

20 Citations (Scopus)

Abstract

In this paper, we discuss an initial value problem for the semilinear time-fractional diffusion equation. The local well-posedness (existence and regularity) is presented when the source term satisfies a global Lipschitz condition. The unique continuation of solution and finite time blowup result are presented when the reaction terms are logarithmic functions (local Lipschitz types).

Original language	English
Article number	161
Number of pages	0
Journal	Zeitschrift fur Angewandte Mathematik und Physik
Volume	71
Issue number	5
DOIs	https://doi.org/10.1007/s00033-020-01348-y
Publication status	Published - 1 Oct 2020

Keywords

Blowup
Fractional calculus
Nonlinear problem
Well-posedness

Authors (Note for portal: view the doc link for the full list of authors)

Authors
de Andrade, B;Au, VV;O'Regan, D;Tuan, NH

Access to Document

10.1007/s00033-020-01348-y

Cite this

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abstract = "In this paper, we discuss an initial value problem for the semilinear time-fractional diffusion equation. The local well-posedness (existence and regularity) is presented when the source term satisfies a global Lipschitz condition. The unique continuation of solution and finite time blowup result are presented when the reaction terms are logarithmic functions (local Lipschitz types).",

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AU - Van Au, Vo

AU - O’Regan, Donal

AU - Tuan, Nguyen Huy

PY - 2020/10/1

Y1 - 2020/10/1

N2 - In this paper, we discuss an initial value problem for the semilinear time-fractional diffusion equation. The local well-posedness (existence and regularity) is presented when the source term satisfies a global Lipschitz condition. The unique continuation of solution and finite time blowup result are presented when the reaction terms are logarithmic functions (local Lipschitz types).

AB - In this paper, we discuss an initial value problem for the semilinear time-fractional diffusion equation. The local well-posedness (existence and regularity) is presented when the source term satisfies a global Lipschitz condition. The unique continuation of solution and finite time blowup result are presented when the reaction terms are logarithmic functions (local Lipschitz types).

KW - Blowup

KW - Fractional calculus

KW - Nonlinear problem

KW - Well-posedness

UR - https://www.scopus.com/pages/publications/85090380379

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ER -

Well-posedness results for a class of semilinear time-fractional diffusion equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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