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Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
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T. Buchukuri
Published/Copyright:
February 23, 2010
Abstract
Dirichlet- and Neumann-type boundary value problems of statics are considered in three-dimensional domains with cuspidal edges filled with a homogeneous anisotropic medium. Using the method of the theory of a potential and the theory of pseudodifferential equations on manifolds with boundary, we prove the existence and uniqueness theorems in Besov and Bessel-potential spaces, and study the smoothness and a complete asymptotics of solutions near the cuspidal edges.
Key words and phrases:: Piezoelectricity; thermoelasticity; anisotropic homegeneous medium; Dirichlet and Neumann problems; asymptotics of solutions
Received: 2000-03-17
Published Online: 2010-02-23
Published in Print: 2000-September
© Heldermann Verlag
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- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
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- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
Keywords for this article
Piezoelectricity;
thermoelasticity;
anisotropic homegeneous medium;
Dirichlet and Neumann problems;
asymptotics of solutions
Articles in the same Issue
- Functions of Generalized Wiener Classes BV (p(n) ↑ ∞, ϕ) and their Fourier Coefficients
- On One Class of Spatial Nonlocal Problems for Some Hyperbolic Equations
- The Basic Mixed Plane Boundary Value Problem of Statics in the Elastic Mixture Theory
- Boundary Problems of Thermopiezoelectricity in Domains with Cuspidal Edges
- Colimits in the Crossed Modules Category in Lie Algebras
- On Some (Hp,q, Lp,q)-Type Maximal Inequalities with Respect to the Walsh–Paley System
- Upper and Lower Solutions of Boundary Value Problems for Functional Differential Equations and Theorems on Functional Differential Inequalities
- Boundary Value Problems of Bending of A Plate for an Infinite Doubly-Connected Domain Bounded by Broken Lines
- Some Fixed Point Theorems in Metrically Convex Spaces
- Weak Type Maximal Inequality and the Rate of Growth of Integral Means
- On the Number of Representations of Positive Integers by Some Quadratic Forms in Fourteen Variables
- On the (C, –1 < α < 0)-Summability of Series with Respect to Block-Orthonormal Systems
- Oscillation of the Riemann–Weber Version of Euler Differential Equations with Delay
- Upper and Lower Solutions Method for A System of Higher Order Difference Equations
