# 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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- Quintanilla R. (1998): Comportamiento espacial en sólidos elasticos noacotados. - Anales de Ingenieria Mecanica, Vol.12, No. 1, pp.175-180.
- Quintanilla R. (2000): Energy methods for problems with non homogeneous boundaryconditions. - Manuscript (unpublished).
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