Explicit solution of the jump problem for the Laplace equation and singularities at the edges.
Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too.
Extension of an integral inequality of C. Miranda and applications to the elliptic equations with discontinuous coefficients
External finite element approximations of eigenvalue problems
Extremal equilibria for parabolic non-linear reaction-diffusion equations
Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems
Extremal values of half-eigenvalues for -Laplacian with weights in balls.