The Dirac complex on abstract vector variables: megaforms.
The Dirac Equation with an Anomalous Magnetic Moment.
The Dirchlet Problem for a Complex Monge-Ampère Equation.
The direct and inverse problem for sub-diffusion equations with a generalized impedance subregion
In this paper, we consider the direct and inverse problem for time-fractional diffusion in a domain with an impenetrable subregion. Here we assume that on the boundary of the subregion the solution satisfies a generalized impedance boundary condition. This boundary condition is given by a second order spatial differential operator imposed on the boundary. A generalized impedance boundary condition can be used to model corrosion and delimitation. The well-posedness for the direct problem is established...
The Dirichlet boundary conditions and related natural boundary conditions in strengthened Sobolev spaces for discretized parabolic problems.
The Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials
The probabilistic approach to the Dirichlet boundary value problem for certain Schrödinger equations with magnetic vector potentials is examined
The Dirichlet boundary value problem for the system uxi-xj=0, j≠i.
The Dirichlet problem
The Dirichlet problem and weighted spaces. I.
The Dirichlet problem and weighted spaces. II.
The Dirichlet problem for a class of nonlinear degenerate parabolic equations.
The Dirichlet problem for a parabolic semilinear differential equation in an unbounded domain.
The Dirichlet problem for a singular elliptic equation
We study the solvability of the Dirichlet problem for a linear elliptic operator of the second order in which the coefficients of the first order derivatives become infinite on a portion of the boundary. The study makes use of Schauder’s estimates and suitably constructed barriers.
The Dirichlet problem for elliptic equations in the plane
In this paper an existence and uniqueness theorem for the Dirichlet problem in for second order linear elliptic equations in the plane is proved. The leading coefficients are assumed here to be of class VMO.
The Dirichlet problem for elliptic equations with drift terms.
We establish absolute continuity of the elliptic measure associated to certain second order elliptic equations in either divergence or nondivergence form, with drift terms, under minimal smoothness assumptions on the coefficients.
The Dirichlet problem for harmonic functions with boundary values from Zygmund classes.
The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere
The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.
The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity
The Dirichlet problem for the biharmonic equation in a Lipschitz domain