Well-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problems
DOI10.1080/00036811.2019.1574342zbMath1450.35270OpenAlexW2914107801MaRDI QIDQ5126687
Junxiong Jia, Xiaohua Jing, Ji-Gen Peng
Publication date: 20 October 2020
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2019.1574342
inverse source problemunique existencegeneralized Gronwall's inequalitydetermination of fractional order
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Boundary regularity for the fractional heat equation
- Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
- Maximum principles for a time-space fractional diffusion equation
- Inverse source problem with a final overdetermination for a fractional diffusion equation
- Harnack's inequality for a space-time fractional diffusion equation and applications to an inverse source problem
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- Semigroups of linear operators and applications to partial differential equations
- Cauchy problem for fractional diffusion equations
- An inverse time-dependent source problem for a time-space fractional diffusion equation
- Fractional reproduction-dispersal equations and heavy tail dispersal kernels
- Maximum principle for the generalized time-fractional diffusion equation
- Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
- Regularity of spectral fractional Dirichlet and Neumann problems
- An inverse time-dependent source problem for a time-fractional diffusion equation
- Bayesian approach to inverse problems for functions with a variable-index Besov prior
- Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction–diffusion equation
- Coefficient inverse problem for a fractional diffusion equation
- Inverse source problem for a fractional diffusion equation
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces
- A tutorial on inverse problems for anomalous diffusion processes
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Well-posedness for a nonlocal nonlinear diffusion equation and applications to inverse problems
