An inverse problem for the fractional porous medium equation

DOI10.3233/ASY-221781OpenAlexW3216459650MaRDI QIDQ5880951

No author found.

Publication date: 9 March 2023

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.14982

zbMATH Keywords

inverse problemunique continuation propertyfractional porous medium equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Gas dynamics (general theory) (76N15) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (3)

An inverse problem for the fractional porous medium equation ⋮ An inverse problem for semilinear equations involving the fractional Laplacian ⋮ Inverse problems for some fractional equations with general nonlinearity

Cites Work

• Unnamed Item
• Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
• The fractional Calderón problem: low regularity and stability
• An inverse problem for a fractional diffusion equation with fractional power type nonlinearities
• Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
• The Calderón inverse problem for isotropic quasilinear conductivities
• The Calderón problem for the fractional Schrödinger equation
• Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
• The Calderón problem for variable coefficients nonlocal elliptic operators
• An inverse problem for the fractional Schrödinger equation in a magnetic field
• Determining the magnetic potential in the fractional magnetic Calderón problem
• The Calderón Problem for a Space-Time Fractional Parabolic Equation
• A Fractional Parabolic Inverse Problem Involving a Time-dependent Magnetic Potential
• Recovering a quasilinear conductivity from boundary measurements
• An Extension Problem Related to the Fractional Laplacian
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Inverse problems for the fractional-Laplacian with lower order non-local perturbations
• An inverse problem for the fractional porous medium equation

This page was built for publication: An inverse problem for the fractional porous medium equation