Decomposable systems of differential operators and generalized inverses
Deficiency Indices of Singular Schrödinger Operators.
Degenerate differential operators with parameters.
Degree theory for VMO maps on metric spaces
We construct a degree theory for Vanishing Mean Oscillation functions in metric spaces, following some ideas of Brezis & Nirenberg. The underlying sets of our metric spaces are bounded open subsets of and their boundaries. Then, we apply our results in order to analyze the surjectivity properties of the -harmonic extensions of VMO vector-valued functions. The operators we are dealing with are second order linear differential operators sum of squares of vector fields satisfying the hypoellipticity...
Dense point spectrum and absolutely continuous spectrum in spherically symmetric Dirac operators.
Dependence of fractional powers of elliptic operators on boundary conditions
The realization of an elliptic operator A under suitable boundary conditions is considered and the dependence of the square-root of A from the various conditions is studied.
Desch-Schappacher perturbation theorem for -semigroups on the dual of a Banach space.
Deuxième microlocalisation sur les sous-variétés isotropes
Diagonalisation d'opérateurs non-autoadjoints et séparation des variables
Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil II.
Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil III.
Differential operators with generalized constant coefficients.
Dirac Operations with Strongly Singular Potentials. Distinguished Self-Adjoint Extensions Constructed with a Spectral Gap Theorem and Cut-Off-Potentials.
Dirichlet forms for general Wentzell boundary conditions, analytic semigroups, and cosine operator functions.
Discrete Spectrum of the Periodic Schrödinger Operator with a Variable Metric Perturbed by a Nonnegative Potential
We study discrete spectrum in spectral gaps of an elliptic periodic second order differential operator in L2(ℝd) perturbed by a decaying potential. It is assumed that a perturbation is nonnegative and has a power-like behavior at infinity. We find asymptotics in the large coupling constant limit for the number of eigenvalues of the perturbed operator that have crossed a given point inside the gap or the edge of the gap. The corresponding asymptotics...
Discretization methods with analytical characteristic methods for advection-diffusion-reaction equations and 2d applications
Our studies are motivated by a desire to model long-time simulations of possible scenarios for a waste disposal. Numerical methods are developed for solving the arising systems of convection-diffusion-dispersion-reaction equations, and the received results of several discretization methods are presented. We concentrate on linear reaction systems, which can be solved analytically. In the numerical methods, we use large time-steps to achieve long simulation times of about 10 000 years. We propose...
Dispersive Estimates of Solutions to the Wave Equation with a Potential in Dimensions Two and Three
2000 Mathematics Subject Classification: 35L15, 35B40, 47F05.We prove dispersive estimates for solutions to the wave equation with a real-valued potential V.
Distinguished Selfadjoint Extensions of Dirac Operators.
Distinguished Self-Adjoint Extensions of Dirac Operators Constructed by Means of Cutt-Off Potentials.
Distortion analyticity and molecular resonance curves