Coerciveness inequality for nonlocal boundary value problems for second order abstract elliptic differential equations.
Fredholmness of an abstract differential equation of elliptic type.
Fredholm property for a parameter dependent second order operator differential equation.
Coefficients of singularities of the biharmonic problem of Neumann type: case of the crack.
Regularity of Transmission Problems in Dihedral Domains
We consider the transmission problem for the Laplace operator in a straight cylinder with data in . Applying the theory of the sums of operators in Banach spaces, we prove that the solution admits a decomposition into a regular part in and an explicit singular part.
Deficient Coerciveness Estimate for an Abstract Differential Equation with a Parameter Dependent Boundary Conditions
In this paper we consider an abstract elliptic differential problem where the equation and the boundary conditions may contain a spectral parameter. We first prove that this problem generates an isomorphism between appropriate spaces and we establish a more precise estimate called coerciveness estimate with defect. The results obtained are applied to study some classes of elliptic, and also possibly degenerate, problems.
Page 1