On the coerciveness property of the biharmonic operator

Gabriel N. Gatica

Resumen


We consider the weak formulation of the bilurmonic equation under two different kinds of boundary conditions. It is shown, in one case, that the coerciveness of the bilinear form associated can be easily deduced by using the continuous- dependence result for the Laplace equation with Dirichlet data. In the second case, a generalized l'oincare inequality is readily employed.


Palabras clave


Ecuaciones diferenciales; Laplace; Ecuación biarmónica

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Referencias


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FICHERA, G. "Linear elliptic differential systems and eigenvalue problems". Lecture notes in mathematics 8, Springer-Verlag, Berlin, 1965.

FRIEDMAN, A. : "Partial differential equations". Robert E. Krieger Publishing Company, lnc., 1969.

KUFNER, A.; JOHN, O.; FUCIK, S. "Function spaces". Prague, Academia, 1977.

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DOI: http://dx.doi.org/10.22199/S07160917.1991.0017.00003

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