An inverse problem for the Riemannian minimal surface equation

DOI10.1016/J.JDE.2023.10.039arXiv2203.09262OpenAlexW4388028696MaRDI QIDQ6140113

Matti Lassas, Lauri Oksanen, Tony Liimatainen, Cătălin I. Cârstea

Publication date: 19 January 2024

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.09262

zbMATH Keywords

minimal surfacequasilinear elliptic equationinverse problemsRiemannian manifoldRiemannian surfacehigher-order linearization

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (1)

Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements

Cites Work

• Unnamed Item
• Calderón inverse problem with partial data on Riemann surfaces
• The analysis of linear partial differential operators. I: Distribution theory and Fourier analysis.
• Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations
• Inverse boundary value problems for a class of semilinear elliptic equations
• On a quasilinear inverse boundary value problem
• Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations
• The Poisson embedding approach to the Calderón problem
• An inverse problem for a semi-linear elliptic equation in Riemannian geometries
• Inverse problems for elliptic equations with power type nonlinearities
• The Calderón inverse problem for isotropic quasilinear conductivities
• Reconstruction for the coefficients of a quasilinear elliptic partial differential equation
• Determining a Riemannian metric from minimal areas
• Eigenvalues of rank-one updated matrices with some applications
• An inverse boundary value problem for certain anisotropic quasilinear elliptic equations
• Inverse problems for elliptic equations with fractional power type nonlinearities
• Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation
• Partial data inverse problems for quasilinear conductivity equations
• Determining anisotropic real-analytic conductivities by boundary measurements
• Global uniqueness for a semilinear elliptic inverse problem
• On determining a Riemannian manifold from the Dirichlet-to-Neumann map
• Inverse problems in quasilinear anisotropic media
• Boundary Determination of Conductivities and Riemannian Metrics via Local Dirichlet-to-Neumann Operator
• Global Uniqueness for a Two-Dimensional Semilinear Elliptic Inverse Problem
• A remark on partial data inverse problems for semilinear elliptic equations
• Inverse problems for semilinear elliptic PDE with measurements at a single point
• An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds

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