Inverse problems for some fractional equations with general nonlinearity

DOI10.1007/s40687-023-00409-8zbMath1527.35498OpenAlexW4387700164MaRDI QIDQ6072064

Pu-Zhao Kow, Jenn-Nan Wang

Publication date: 29 November 2023

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-023-00409-8

zbMATH Keywords

fractional Laplaciannonlinear potentialsKerr-type nonlinearityglobal uniqueness of inverse problemsHartree potentials

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Equations involving nonlinear operators (general) (47J05) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Cites Work

• Unnamed Item
• Unnamed Item
• Elliptic PDEs, measures and capacities. From the Poisson equation to nonlinear Thomas-Fermi problems
• Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
• Hitchhiker's guide to the fractional Sobolev spaces
• Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly
• Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
• Well-posedness for semi-relativistic Hartree equations of critical type
• On the continuum limit for discrete NLS with long-range lattice interactions
• Inverse problems for a fractional conductivity equation
• The fractional Calderón problem: low regularity and stability
• On an inverse problem for a fractional semilinear elliptic equation involving a magnetic potential
• Inverse problems for fractional semilinear elliptic equations
• Inverse problems for the fractional Laplace equation with lower order nonlinear perturbations
• Soliton dynamics in a fractional complex Ginzburg-Landau model
• An inverse problem for a fractional diffusion equation with fractional power type nonlinearities
• Inverse medium scattering for a nonlinear Helmholtz equation
• Monotonicity-based inversion of fractional semilinear elliptic equations with power type nonlinearities
• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
• The Calderón problem for the fractional Schrödinger equation with drift
• The Calderón problem for the fractional Schrödinger equation
• Boson stars as solitary waves
• An inverse problem for a one-dimensional time-fractional diffusion problem
• Tutorial on nonlinear optics
• The Calderón problem for variable coefficients nonlocal elliptic operators
• Exponential instability in the fractional Calderón problem
• Global uniqueness for the fractional semilinear Schrödinger equation
• The Calderón Problem for the Fractional Wave Equation: Uniqueness and Optimal Stability
• The Calderón Problem for a Space-Time Fractional Parabolic Equation
• Time-Fractional Differential Equations
• Monotonicity-Based Inversion of the Fractional Schrödinger Equation II. General Potentials and Stability
• Monotonicity-based Inversion of the Fractional Schrödinger Equation I. Positive Potentials
• A tutorial on inverse problems for anomalous diffusion processes
• Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
• Numerical study of fractional nonlinear Schrödinger equations
• An inverse problem for the fractional porous medium equation
• Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions
• On inverse problems for uncoupled space-time fractional operators involving time-dependent coefficients
• An inverse problem for semilinear equations involving the fractional Laplacian
• Uniqueness for inverse problem of determining fractional orders for time-fractional advection-diffusion equations

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