The energy method for elastic problems with non-homogeneous boundary conditions
International Journal of Applied Mathematics and Computer Science (2002)
- Volume: 12, Issue: 1, page 91-100
- ISSN: 1641-876X
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topQuintanilla, Ramon. "The energy method for elastic problems with non-homogeneous boundary conditions." International Journal of Applied Mathematics and Computer Science 12.1 (2002): 91-100. <http://eudml.org/doc/207572>.
@article{Quintanilla2002,
abstract = {In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.},
author = {Quintanilla, Ramon},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {weighted energy method; Navier equations; decay estimates; non-homogeneous boundary conditions; strip; three-dimensional elasticity; boundary value problems; nonhomogeneous boundary conditions; spatial decay estimates; two-dimensional elasticity; harmonic vibrations; cylinder; ill-posed problem},
language = {eng},
number = {1},
pages = {91-100},
title = {The energy method for elastic problems with non-homogeneous boundary conditions},
url = {http://eudml.org/doc/207572},
volume = {12},
year = {2002},
}
TY - JOUR
AU - Quintanilla, Ramon
TI - The energy method for elastic problems with non-homogeneous boundary conditions
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 1
SP - 91
EP - 100
AB - In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.
LA - eng
KW - weighted energy method; Navier equations; decay estimates; non-homogeneous boundary conditions; strip; three-dimensional elasticity; boundary value problems; nonhomogeneous boundary conditions; spatial decay estimates; two-dimensional elasticity; harmonic vibrations; cylinder; ill-posed problem
UR - http://eudml.org/doc/207572
ER -
References
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