The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “Fredholmness of an abstract differential equation of elliptic type.”

The scalar Oseen operator - Δ + / x 1 in 2

Chérif Amrouche, Hamid Bouzit (2008)

Applications of Mathematics

Similarity:

This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in L p theory.

Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis

Maria Alessandra Ragusa (1999)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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 . is an elliptic second order operator with discontinuous coefficients ( V M O ) and the lower order terms belong to suitable Lebesgue spaces.