Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions
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Publication:1710976
DOI10.1007/s00205-018-1302-9zbMath1408.35033arXiv1802.08631OpenAlexW2950374573WikidataQ129336591 ScholiaQ129336591MaRDI QIDQ1710976
Edi Rosset, Giovanni Alessandrini, Sergio Vessella
Publication date: 24 January 2019
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.08631
Boundary value problems for higher-order elliptic equations (35J40) Nonlinear elliptic equations (35J60)
Related Items (6)
An inverse problem on determining second order symmetric tensor for perturbed biharmonic operator ⋮ Unique continuation and inverse problem for an anisotropic beam bending equation ⋮ Optimal identification of cavities in the generalized plane stress problem in linear elasticity ⋮ Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate ⋮ Doubling inequality at the boundary for the Kirchhoff-Love plate's equation with supported conditions ⋮ Stable Determination of a Rigid Scatterer in Elastodynamics
Cites Work
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- Quantitative uniqueness for elliptic equations at the boundary of \(C^{1,\operatorname{Dini}}\) domains
- Observability inequalities and measurable sets
- Quantitative estimates of strong unique continuation for wave equations
- Stability properties of an inverse parabolic problem with unknown boundaries
- Detecting rigid inclusions, or cavities, in an elastic body
- On the dependence of the reflection operator on boundary conditions for biharmonic functions
- A note on the reflection principle for the biharmonic equation and the Stokes system
- A note on boundary unique continuation for harmonic functions in non-smooth domains
- Unique continuation for parabolic operators
- Convex domains and unique continuation at the boundary
- Quantitative uniqueness for second-order elliptic operators
- Spectral inequality and resolvent estimate for the bi-Laplace operator
- Unicite forte pour le produit de deux operateurs d'ordre 2
- Quantitative estimates of unique continuation for parabolic equations and inverse initial-boundary value problems with unknown boundaries
- Recent results about the detection of unknown boundaries and inclusions in elastic plates
- Wave equation with Robin condition, quantitative estimates of strong unique continuation at the boundary
- Quantitative uniqueness for the power of Laplacian with singular coefficients
- Continuation and reflection of solutions of partial differential equations
- A remark on the unique continuation theorem for certain fourth order elliptic equations
- A remark on gradients of harmonic functions in dimension ≥3
- Strong unique continuation for products of elliptic operators of second order
- Detecting general inclusions in elastic plates
- Uniqueness and stability in determining a rigid inclusion in an elastic body
- The stability for the Cauchy problem for elliptic equations
- Some remarks on strong unique continuation for the laplace operator and its powers
- Unique continuation on the boundary for Dini domains
- C1,? domains and unique continuation at the boundary
- Examples of exponential instability for inverse inclusion and scattering problems
- Stable determination of cavities in elastic bodies
- Stability for the Determination of Unknown Boundary and Impedance with a Robin Boundary Condition
- Doubling properties of caloric functions
- Size estimates for inclusions in an elastic plate by boundary measurements
- Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates
- The three-sphere theorem for a class of elliptic equations of high order and a refinement of this theorem for a linear elliptic equation of second order
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