Strong maximum principle for fractional diffusion equations and an application to an inverse source problem

From MaRDI portal
Publication:309298

DOI10.1515/fca-2016-0048zbMath1346.35216arXiv1507.00845OpenAlexW3098690120MaRDI QIDQ309298

William Rundell, Yikan Liu, Masahiro Yamamoto

Publication date: 7 September 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00845




Related Items (66)

Application of the generalized multiscale finite element method in an inverse random source problemLipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimatesRecovering the time-dependent potential function in a multi-term time-fractional diffusion equationIdentification problem for degenerate evolution equations of fractional orderUniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domainsStationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equationInverse space-dependent source problem for a time-fractional diffusion equation by an adjoint problem approachRecovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equationInverse linear problems for a certain class of degenerate fractional evolution equationsDetermination of time dependent factors of coefficients in fractional diffusion equationsSimultaneous determination of different class of parameters for a diffusion equation from a single measurementInverse source problem for the abstract fractional differential equationNumerical reconstruction of the spatial component in the source term of a time-fractional diffusion equationOn the maximum principle for a time-fractional diffusion equationGlobal uniqueness in an inverse problem for time fractional diffusion equationsSimultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equationA high-order and extra-dof-free generalized finite element method for time-fractional diffusion equationReconstruction of pointwise sources in a time-fractional diffusion equationInverse problems for heat equation and space-time fractional diffusion equation with one measurementWell-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problemsLinear inverse problems for degenerate evolution equations with the Gerasimov–Caputo derivative in the sectorial caseNumerical solution of two-dimensional inverse time-fractional diffusion problem with non-local boundary condition using \(a\)-polynomialsInverse source problem with a posteriori boundary measurement for fractional diffusion equationsSimultaneous recovery of two time-dependent coefficients in a multi-term time-fractional diffusion equationUniqueness of inverse source problems for general evolution equationsUniqueness of the potential in a time-fractional diffusion equationUniqueness for fractional nonsymmetric diffusion equations and an application to an inverse source problemSimultaneous uniqueness in determining the space‐dependent coefficient and source for a time‐fractional diffusion equationIdentification of a time-dependent source term in a distributed-order time-fractional equation from a nonlocal integral observationInverse source problem for a one-dimensional time-fractional diffusion equation and unique continuation for weak solutionsWell-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problemsUnique determination of fractional order and source term in a fractional diffusion equation from sparse boundary dataOn an inverse potential problem for a fractional reaction–diffusion equationInverse Moving Source Problem for Fractional Diffusion(-Wave) Equations: Determination of OrbitsConditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimateSimultaneous inversion for the diffusion and source coefficients in the multi-term TFDEAn inverse potential problem for subdiffusion: stability and reconstruction*Recovering a time-dependent potential function in a time fractional diffusion equation by using a nonlinear conditionNumerical methods for time-fractional evolution equations with nonsmooth data: a concise overviewInverse source problem for a space-time fractional diffusion equationStrong maximum principle for multi-term time-fractional diffusion equations and its application to an inverse source problemInverse problem for evolutionary equation with the Gerasimov-Caputo fractional derivative in the sectorial caseRecovering an unknown source in a fractional diffusion problemOptimal control problem and maximum principle for fractional order cooperative systemsNumerical inversion for the multiple fractional orders in the multiterm TFDEINVERSE PROBLEMS FOR A GENERALIZED SUBDIFFUSION EQUATION WITH FINAL OVERDETERMINATIONInitial-boundary value problems for fractional diffusion equations with time-dependent coefficientsA simultaneous inversion problem for the variable-order time fractional differential equation with variable coefficientIdentification of the degradation coefficient for an anomalous diffusion process in hydrologyDetermine a space-dependent source term in a time fractional diffusion-wave equationReconstruction and stable recovery of source terms and coefficients appearing in diffusion equationsReconstruction of the temporal component in the source term of a (time-fractional) diffusion equationInverse source problems for a space–time fractional differential equationFourier truncation method for the non-homogeneous time fractional backward heat conduction problemMaximum principles for time-fractional Cauchy problems with spatially non-local componentsInverse problems for a class of degenerate evolution equations with Riemann - Liouville derivativeUnique continuation principle for the one-dimensional time-fractional diffusion equationOn fractional asymptotical regularization of linear ill-posed problems in Hilbert spacesOn the simultaneous reconstruction of boundary Robin coefficient and internal source in a slow diffusion systemInverse moving source problem for time-fractional evolution equations: determination of profilesCoefficient inverse problem for variable order time-fractional diffusion equations from distributed dataRECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATIONNumerical Estimation of a Diffusion Coefficient in SubdiffusionSimultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equationA noniterative reconstruction method for solving a time-fractional inverse source problem from partial boundary measurementsInitial-boundary value problems for multi-term time-fractional wave equations



Cites Work


This page was built for publication: Strong maximum principle for fractional diffusion equations and an application to an inverse source problem