Displaying similar documents to “Finite propagation speed and kernels of strictly elliptic operators.”

The Dirichlet problem for elliptic equations in the plane

Paola Cavaliere, Maria Transirico (2005)

Commentationes Mathematicae Universitatis Carolinae

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In this paper an existence and uniqueness theorem for the Dirichlet problem in W 2 , p for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class .

Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis

Maria Alessandra Ragusa (1999)

Commentationes Mathematicae Universitatis Carolinae

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In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class H 0 1 , p ( Ω ) for all 1 < p < ∞ and, as a consequence, the Hölder regularity of the solution u . ℒ is an elliptic second order operator with discontinuous coefficients ( V M O ) and the lower order terms belong to suitable Lebesgue spaces.