Uniqueness for weak solutions of parabolic equations with a fractional time derivative

DOI10.1090/CONM/723/14544zbMath1423.35229arXiv1705.03959OpenAlexW2962896950MaRDI QIDQ5236847

Mark G. Allen

Publication date: 16 October 2019

Published in: New Developments in the Analysis of Nonlocal Operators (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03959

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Integro-partial differential equations (45K05) Abstract integral equations, integral equations in abstract spaces (45N05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (2)

Application of capacities to space–time fractional dissipative equations I: regularity and the blow-up set ⋮ Decay estimates for evolutionary equations with fractional time-diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A parabolic problem with a fractional time derivative
• Hitchhiker's guide to the fractional Sobolev spaces
• Porous medium flow with both a fractional potential pressure and fractional time derivative
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Hölder regularity for nondivergence nonlocal parabolic equations
• A nondivergence parabolic problem with a fractional time derivative.
• A De Giorgi-Nash type theorem for time fractional diffusion equations
• Maximum principles, extension problem and inversion for nonlocal one-sided equations
• Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces

This page was built for publication: Uniqueness for weak solutions of parabolic equations with a fractional time derivative