Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation
type: Item
instance of: scholarly article
title: Uniqueness for an inverse problem for a semilinear time-fractional diffusion equation
zbMATH Open document ID: 1357.35296
author: Jaan Janno
author: Kairi Kasemets
published in: Inverse Problems and Imaging
publication date: 2017-02-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1609.03693
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A02
Mathematics Subject Classification ID: 80A23
zbMATH DE Number: 6680496
zbMATH Keywords: inverse problem
zbMATH Keywords: fractional diffusion
zbMATH Keywords: semilinear fractional parabolic equation
zbMATH Keywords: uniqueness
zbMATH Keywords: positivity principle
MaRDI profile type: Publication
OpenAlex ID: W2962848879
arXiv ID: 1609.03693
cites work: Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives
cites work: Identifying a space dependent coefficient in a reaction-diffusion equation
cites work: The Maximum Principle for Time-Fractional Diffusion Equations and Its Application
cites work: Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
cites work: An inverse problem for a generalized fractional diffusion
cites work: Mathematical modeling of time fractional reaction-diffusion systems
cites work: Some recent advances in theory and simulation of fractional diffusion processes
cites work: Inverse parabolic problems with the final overdetermination
cites work: Inverse problems for partial differential equations
cites work: Q3188547
cites work: A positivity principle for parabolic integro-differential equations and inverse problems with final overdetermination
cites work: An inverse problem for a one-dimensional time-fractional diffusion problem
cites work: An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
cites work: On a solvability of a nonlinear fractional reaction-diffusion system in the Hölder spaces
cites work: Q5562267
cites work: Initial-boundary-value problems for the generalized multi-term time-fractional diffusion equation
cites work: Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation
cites work: Analytic semigroups and optimal regularity in parabolic problems
cites work: Fractional calculus models of complex dynamics in biological tissues
cites work: Q5596448
cites work: Q4276447
cites work: On the solutions of time-fractional reaction-diffusion equations
cites work: Inverse source problem with a final overdetermination for a fractional diffusion equation
cites work: Generation of Analytic Semigroups by Strongly Elliptic Operators Under General Boundary Conditions
cites work: Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
cites work: Comparing numerical methods for solving time-fractional reaction-diffusion equations
cites work: A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
cites work: Q2969949
cites work: Maximal regularity of type \(L_p\) for abstract parabolic Volterra equations
cites work: Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
cites work: Chaos, fractional kinetics, and anomalous transport
cites work: Inverse source problem for a fractional diffusion equation
DOI: 10.3934/IPI.2017007
description: scientific article