A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential

DOI10.1137/20M1359638zbMath1467.35354arXiv2008.02384MaRDI QIDQ5147555

Li Li

Publication date: 27 January 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.02384

zbMATH Keywords

Dirichlet-to-Neumann mapRunge approximation property

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (6)

An inverse problem for the fractional porous medium equation ⋮ An inverse problem for a fractional diffusion equation with fractional power type nonlinearities ⋮ Uniqueness for the Fractional Calderón Problem with Quasilocal Perturbations ⋮ On inverse problems for uncoupled space-time fractional operators involving time-dependent coefficients ⋮ On inverse problems arising in fractional elasticity ⋮ Low regularity theory for the inverse fractional conductivity problem

Cites Work

• Unnamed Item
• Unnamed Item
• Global uniqueness in an inverse problem for time fractional diffusion equations
• Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field
• Inverse problems for a fractional conductivity equation
• The fractional Calderón problem: low regularity and stability
• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
• Quantitative approximation properties for the fractional heat equation
• The Calderón problem for the fractional Schrödinger equation with drift
• The Calderón problem for the fractional Schrödinger equation
• Local approximation of arbitrary functions by solutions of nonlocal equations
• Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential
• Determining a magnetic Schrödinger operator from partial Cauchy data
• Determining Coefficients in a Class of Heat Equations via Boundary Measurements
• An Inverse Boundary Value Problem for Schrodinger Operators with Vector Potentials
• The Calderón problem for the fractional magnetic operator
• Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
• The Calderón problem for variable coefficients nonlocal elliptic operators
• Conditional stability in determining a heat source
• Fractional kinetic equations: solutions and applications
• Determining the magnetic potential in the fractional magnetic Calderón problem
• The Calderón Problem for a Space-Time Fractional Parabolic Equation

This page was built for publication: A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential