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Unique continuation from the edge of a crack (Q2167460)

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Language	Label	Description	Also known as
English	Unique continuation from the edge of a crack	scientific article

Statements

scholarly article

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Unique continuation from the edge of a crack (English)

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Alessandra De Luca

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Mathematics in Engineering

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publication date

25 August 2022

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full work available at URL

https://arxiv.org/abs/2004.11177

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zbMATH Keywords

crack singularities

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blow-up analysis

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Almgren-type monotonicity formula

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MaRDI profile type

MaRDI publication profile

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$L^2$-Integrability of Second Order Derivatives for Poisson's Equation in Nonsmooth Domains.

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C1,? domains and unique continuation at the boundary

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Convex domains and unique continuation at the boundary

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𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two

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Density results in Sobolev spaces whose elements vanish on a part of the boundary

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Asymptotics of functions represented by potentials.

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Asymptotics Without Logarithmic Terms for Crack Problems†

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Laplace equation in a domain with a rectilinear crack: higher order derivatives of the energy with respect to the crack length

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Dirichlet problems on varying domains.

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Unique continuation principles in cones under nonzero Neumann boundary conditions

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The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems.

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A partial answer to a conjecture of B. Simon concerning unique continuation

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Asymptotic expansions and unique continuation at Dirichlet-Neumann boundary junctions for planar elliptic equations

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Almgren-type monotonicity methods for the classification of behaviour at corners of solutions to semilinear elliptic equations

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On semilinear elliptic equations with borderline Hardy potentials

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Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

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A note on local asymptotics of solutions to singular elliptic equations via monotonicity methods

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On the behavior at collisions of solutions to Schrödinger equations with many-particle and cylindrical potentials

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Difference Quotients and Elliptic Mixed Boundary Problems of Second Order

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Nonsmooth domain optimization for elliptic equations with unilateral conditions.

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Quantitative uniqueness for second-order elliptic operators

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Unique continuation on the boundary for Dini domains

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Energy release rate and stress intensity factor in antiplane elasticity

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Convergence of convex sets and of solutions of variational inequalities

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Regularity and perturbation results for mixed second order elliptic problems

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Boundary unique continuation theorems under zero Neumann boundary conditions

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Weighted doubling properties and unique continuation theorems for the degenerate Schrödinger equations with singular potentials

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A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.3934/MINE.2021023

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Sitelinks

Mathematics(1 entry)

mardi Publication:2167460

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