zbMath0827.35001MaRDI QIDQ4314476
Heinrich Begehr, Robert P. Gilbert
Publication date: 22 November 1994
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Theory of differential equations in discontinuous piecewise-defined functions,
General theory of domain decomposition: Indirect methods,
Integral Representations Related to Complex Partial Differential Operators,
Boundedness of the Bragg-Dettman transmutation operator and applications,
Solving boundary value problems with ``average data sampled on an arc, Analytic approximation of transmutation operators and related systems of functions, Standard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential, A Neumann problem for the polyanalytic operator in planar domains with harmonic Green function, Schwarz problem in a ring domain*, Dirichlet-type problems for n-Poisson equation in Clifford analysis, Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations, Transmutation operators based on homotope analysis for nonlocal boundary value problems, Transmutation operators and complete systems of solutions for the radial bicomplex Vekua equation, Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties, Asymptotics with respect to the spectral parameter and Neumann series of Bessel functions for solutions of the one-dimensional Schrödinger equation, Transmutation operators method for Sturm-Liouville equations in impedance form. II: Inverse problem, Analytic approximation of transmutation operators and applications to highly accurate solution of spectral problems, Toward a general theory of transmutation, Supersymmetric generalized power functions, Some Recent Developments in the Transmutation Operator Approach, Transmutation Operators and Their Applications, Transmutation Operators Boundary Value Problems, Liouville transformation, analytic approximation of transmutation operators and solution of spectral problems, Representation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions, The Appell’s function F3 and the solutions of a PDE with singular coefficients, Transmutations and Spectral Parameter Power Series in Eigenvalue Problems, Small modifications of quadrature domains, Construction of transmutation operators and hyperbolic pseudoanalytic functions, Hyperanalytic functions and their applications, A representation of the transmutation kernels for the Schrödinger operator in terms of eigenfunctions and applications, Trefftz method: A general theory, Complete systems of Beltrami fields using complex quaternions and transmutation theory, Iterated Neumann problem for the higher order Poisson equation, Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane, Theory of multidimensional Delsarte-Lions transmutation operators. I, Runge property and approximation by complete systems of solutions for strongly elliptic equations, Electromagnetic field singularities
