Cover Image

On the shape derivative of polygonal inclusions in the conductivity problem

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Hanke, Martin
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Lipschitz stability of an inverse conductivity problem with two Cauchy data pairs
by: Hanke, Martin
Published: (2024)

Optimal gradient estimates for the insulated conductivity problem with general convex inclusions case
by: Li, Haigang, et al.
Published: (2024)

Gradient estimates for the $p$-Laplacian perfect conductivity problem with partially flat and $C^{1,γ}$ inclusions
by: Dong, Hongjie, et al.
Published: (2026)

Optimal gradient estimates for conductivity problems with imperfect low-conductivity interfaces
by: Dong, Hongjie, et al.
Published: (2025)

Analytic shape recovery of an elastic inclusion from elastic moment tensors
by: Cho, Daehee, et al.
Published: (2024)

Optimal boundary gradient estimates for the insulated conductivity problem
by: Li, Haigang, et al.
Published: (2024)

Calderón problem for the quasilinear conductivity equation in dimension $2$
by: Liimatainen, Tony, et al.
Published: (2023)

Shape derivative approach to fractional overdetermined problems
by: Djitte, Sidy M., et al.
Published: (2025)

Optimal (partial) transport to non-convex polygonal domains
by: Chen, Shibing, et al.
Published: (2023)

The insulated conductivity problem, effective gradient estimates and the maximum principle
by: Weinkove, Ben
Published: (2021)

Optimal higher derivative estimates for Stokes equations with closely spaced rigid inclusions
by: Dong, Hongjie, et al.
Published: (2024)

A shape optimization problem for nematic and cholesteric liquid crystal drops
by: Giacomini, Alessandro, et al.
Published: (2024)

The discrete inverse conductivity problem solved by the weights of an interpretable neural network
by: Beretta, Elena, et al.
Published: (2024)

The perfect conductivity problem with arbitrary vanishing orders and non-trivial topology
by: Sherman, Morgan, et al.
Published: (2023)

A simple proof for the insulated conductivity problem and application to flat boundaries
by: Ma, Linjie
Published: (2026)

Uniqueness in determining a convex polygonal source of an elastic body
by: Xiang, Jianli
Published: (2025)

Optimal higher derivative estimates for solutions of the Lamé system with closely spaced hard inclusions
by: Dong, Hongjie, et al.
Published: (2024)

Higher derivative estimates for Stokes equations with closely spaced rigid inclusions in three dimensions
by: Dong, Hongjie, et al.
Published: (2025)

Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem
by: Ferreri, Lorenzo, et al.
Published: (2024)

On the shape of the positivity region for a free boundary problem describing cell polarization
by: Sepúlveda, Sebastián Flores, et al.
Published: (2026)

Multifractality and polygonal vortex filaments
by: Banica, Valeria, et al.
Published: (2024)

Optimal gradient estimates for the insulated conductivity problem with dimensions more than two
by: Ma, Linjie
Published: (2022)

Effective thermal conduction of a Signorini-type problem in composites with rough interface
by: Monsurrò, Sara, et al.
Published: (2025)

The inverse obstacle problem for nonlinear inclusions
by: Mottola, Vincenzo, et al.
Published: (2024)

Inverse problem for determining the order of fractional derivative in mixed-type equations
by: Ashurov, R. R., et al.
Published: (2021)

Limiting shape of the $L_p$-Minkowski problem
by: Du, Shi-Zhong, et al.
Published: (2025)

A weakly coupled system of $p$-Laplace type in a heat conduction problem
by: Fotouhi, Morteza, et al.
Published: (2023)

A matrix formulation of the plane elastostatic inclusion problem via geometric function theory
by: Cho, Daehee, et al.
Published: (2024)

Initial boundary value problems for 3-d Navier-Stokes equations with hyperbolic heat conduction
by: Hu, Yuxi, et al.
Published: (2025)

Non-uniqueness of normalized NLS ground states on polygons with homogeneous Neumann boundary conditions
by: Dovetta, Simone, et al.
Published: (2025)

Stability of geodesic-ray data, horofunctions, and rectifiability of fixed-shape slices in the Newtonian \(N\)-body problem
by: Yang, Putian, et al.
Published: (2026)

Well- and Ill-posedness of the Cauchy problem for derivative fractional nonlinear Schrödinger equations on the torus
by: Kato, Takamori, et al.
Published: (2025)

Monotonicity of the first Dirichlet eigenvalue of regular polygons
by: Dahne, Joel, et al.
Published: (2026)

Reconstruction for the Calderón problem with Lipschitz conductivities
by: Caro, Pedro, et al.
Published: (2024)

Openness of shape optimizers in higher-order and non-scalar problems
by: Frank, Rupert L.
Published: (2025)

Global weighted Lorentz estimates of oblique tangential derivative problems for weakly convex fully nonlinear operators
by: Bessa, Junior da S., et al.
Published: (2023)

Injectivity of boundary integral operator in direct-indirect mixed Burton-Miller equation for wave scattering problems with transmissive circular inclusion
by: Matsumoto, Yasuhiro, et al.
Published: (2025)

$L_p$-estimates of the conormal derivative problem for parabolic equations with time measurable coefficients and $A_p$-weights
by: Dong, Hongjie, et al.
Published: (2025)

Some optimal control and shape optimisation problems for bulk-surface cooperative systems
by: Gentile, Andrea, et al.
Published: (2025)

Deep learning surrogate for predicting hydraulic conductivity tensors from stochastic discrete fracture-matrix models
by: Špetlík, Martin, et al.
Published: (2024)