An incomplete-factorization preconditioning using repeated red-black ordering.
An incorrectly posed problem for nonlinear elliptic equations.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An inequality which arises in the absence of the mountain pass geometry.
An infinite-harmonic analogue of a Lelong theorem and infinite-harmonicity cells.
An integral equation technique for solving mixed boundary value problems
An integral estimate for weak solutions to some quasilinear elliptic systems
We prove an integral estimate for weak solutions to some quasilinear elliptic systems; such an estimate provides us with the following regularity result: weak solutions are bounded.
An integro-differential inequality related to the smallest positive eigenvalue ofp(x)-Laplacian Dirichlet problem
We consider the eigenvalue problem for the p(x)-Laplace-Beltrami operator on the unit sphere. We prove same integro-differential inequalities related to the smallest positive eigenvalue of this problem.
An inverse boundary-value problem for semilinear elliptic equations.
An inverse eigenvalue problem for an arbitrary multiply connected bounded region: An extension to higher dimensions.
An inverse Neumann problem.
An inverse problem for a general annular drum with positive smooth functions in the Robin boundary conditions.
An inverse problem for a general doubly-connected bounded domain with impedance boundary conditions.
An inverse problem for Helmholtz's equation.
An inverse problem for the equation
Let be a bounded, convex planar domain whose boundary has a not too degenerate curvature. In this paper we provide partial answers to an identification question associated with the boundary value problemWe prove two results: 1) If is not a ball and if one considers only solutions with , then there exist at most finitely many pairs of coefficients so that the normal derivative equals a given .2) If one imposes no sign condition on the solutions but one additionally supposes that is sufficiently...
An inversion of the obstacle problem and its explicit solution
An iterative method of alternating type for systems with special block matrices
An iterative procedure for systems with matrices originalting from the domain decomposition technique is proposed. The procedure introduces one iteration parameter. The convergence and optimization of the method with respect to the parameter is investigated. The method is intended not as a preconditioner for the CG method but for the independent use.
An -theory of existence and uniqueness of solutions of nonlinear elliptic equations
An estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials
An L...-Estimate for the gradient of extremals.