A De Giorgi-Nash type theorem for time fractional diffusion equations

From MaRDI portal
Publication:1952284

DOI10.1007/s00208-012-0834-9zbMath1264.35271OpenAlexW2001312616MaRDI QIDQ1952284

Rico Zacher

Publication date: 30 May 2013

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-012-0834-9




Related Items

A parabolic problem with a fractional time derivativeOn maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivativeBayesian approach to a nonlinear inverse problem for a time-space fractional diffusion equationWell-posedness and regularity of fractional Rayleigh-Stokes problemsDecay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)About the convergence of a family of initial boundary value problems for a fractional diffusion equation of Robin typeA simple mathematical model inspired by the Purkinje cells: from delayed travelling waves to fractional diffusionEnergy methods for fractional Navier-Stokes equationsThe Cauchy problem for fractional Navier-Stokes equations in Sobolev spacesGlobal existence and asymptotic behavior of weak solutions for time-space fractional Kirchhoff-type diffusion equationsTime discrete abstract fractional Volterra equations via resolvent sequencesGlobal well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equationGlobal strong solvability of a quasilinear subdiffusion problemGlobal existence and convergence results for a class of nonlinear time fractional diffusion equationTime fractional gradient flows: Theory and numericsExistence and uniqueness of weak solutions to a truncated system for a class of time-fractional reaction-diffusion-advection systemsNonlocal time porous medium equation with fractional time derivativeCauchy problems for Hilfer fractional evolution equations on an infinite intervalStability and optimal controls for time-space fractional Ginzburg-Landau systemsCauchy problems of nonlinear nonautonomous fractional evolution equationsGlobal existence, local existence and blow-up of mild solutions for abstract time-space fractional diffusion equationsNonexistence of global solutions for time fractional wave equations in an exterior domainAn extension of De Giorgi class and applicationsNon-autonomous fractional Cauchy problems with almost sectorial operatorsNew results for convergence problem of fractional diffusion equations when order approach to \(1^-\).The well-posedness for semilinear time fractional wave equations on \(\mathbb{R}^N\)Subdiffusion with a time-dependent coefficient: Analysis and numerical solution\(L_{p}\)-estimates for time fractional parabolic equations with coefficients measurable in timeExistence and attractivity for fractional evolution equationsWell-posedness and regularity for fractional damped wave equationsLong-time behavior of non-local in time Fokker–Planck equations via the entropy methodOn evolutionary Volterra equations with state-dependent delayExistence and regularity of solutions to time-fractional diffusion equationsHarnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problemCauchy problems for Keller-Segel type time-space fractional diffusion equationRepresentation of solutions and large-time behavior for fully nonlocal diffusion equations\(L_p\)-estimates for time fractional parabolic equations in divergence form with measurable coefficientsOn the asymptotic behavior of solutions to time-fractional elliptic equations driven by a multiplicative white noiseOn an optimal control problem of time-fractional advection-diffusion equationThe local and global existence of solutions for a time fractional complex Ginzburg-Landau equationUniqueness for weak solutions of parabolic equations with a fractional time derivativeVariational time-fractional mean field gamesEnergy-dissipation for time-fractional phase-field equationsA Sobolev space theory for stochastic partial differential equations with time-fractional derivativesFractional Schrödinger equation in gravitational opticsStrong solutions in the dynamical theory of compressible fluid mixturesA Cauchy problem for fractional evolution equations with Hilfer's fractional derivative on semi-infinite interval



Cites Work


This page was built for publication: A De Giorgi-Nash type theorem for time fractional diffusion equations