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On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front
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V. A. Kondrat'ev
Veröffentlicht/Copyright:
10. März 2010
Abstract
Two terms of asymptotics near crack are obtained for solutions of the Dirichlet boundary value problem for second-order elliptic equations in divergent form. The front of a crack is from 𝐶1+𝑠 and the coefficients of the equations belong to 𝐶𝑠 (0.5 < 𝑠 < 1).
Key words and phrases:: Asymptotics; solution of elliptic equation; crack; nonsmooth front; Dirichlet boundary value problem; divergent form
Received: 2003-03-27
Published Online: 2010-03-10
Published in Print: 2003-September
© Heldermann Verlag
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Artikel in diesem Heft
- On Fourier Series in Eigenfunctions of Elliptic Boundary Value Problems
- On the Mathematical Basis of the Linear Sampling Method
- Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity
- Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data
- Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions
- About Asymptotic and Oscillation Properties of the Dirichlet Problem for Delay Partial Differential Equations
- The Superstability of the Generalized D'alembert Functional Equation
- First Order Partial Functional Differential Equations with Unbounded Delay
- The Dirichlet Problem for Harmonic Functions with Boundary Values from Zygmund Classes
- On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front
- A Factorization Method for an Inverse Neumann Problem for Harmonic Vector Fields
- A Bound for Reflections Across Jordan Curves
- A Direct Method for Boundary Integral Equations on a Contour with a Peak
- On Two-Point Boundary Value Problems for Two-Dimensional Differential Systems with Singularities
Schlagwörter für diesen Artikel
Asymptotics;
solution of elliptic equation;
crack;
nonsmooth front;
Dirichlet boundary value problem;
divergent form
Artikel in diesem Heft
- On Fourier Series in Eigenfunctions of Elliptic Boundary Value Problems
- On the Mathematical Basis of the Linear Sampling Method
- Solvability and Asymptotics of Solutions of Crack-Type Boundary-Contact Problems of the Couple-Stress Elasticity
- Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data
- Laguerre-Type Exponentials, and the Relevant 𝐿-Circular and 𝐿-Hyperbolic Functions
- About Asymptotic and Oscillation Properties of the Dirichlet Problem for Delay Partial Differential Equations
- The Superstability of the Generalized D'alembert Functional Equation
- First Order Partial Functional Differential Equations with Unbounded Delay
- The Dirichlet Problem for Harmonic Functions with Boundary Values from Zygmund Classes
- On the Asymptotics of Solutions of Elliptic Equations in a Neighborhood of a Crack with Nonsmooth Front
- A Factorization Method for an Inverse Neumann Problem for Harmonic Vector Fields
- A Bound for Reflections Across Jordan Curves
- A Direct Method for Boundary Integral Equations on a Contour with a Peak
- On Two-Point Boundary Value Problems for Two-Dimensional Differential Systems with Singularities
