A function theory for the operator D-λ
From MaRDI portal
Publication:3979727
DOI10.1080/17476938208814464zbMath0762.47023OpenAlexW1575280389MaRDI QIDQ3979727
Publication date: 26 June 1992
Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476938208814464
Spectral theory and eigenvalue problems for partial differential equations (35P99) Functions of hypercomplex variables and generalized variables (30G35) Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) General theory of partial differential operators (47F05)
Related Items (37)
Sufficient conditions for first-order differential operators to be associated with a \(q\)-metamonogenic operator in a Clifford type algebra ⋮ Reproducing kernel functions of solutions to polynomial Dirac equations in the annulus of the unit ball in \(\mathbb R^n\) and applications to boundary value problems ⋮ On the Riemann boundary value problem for null solutions to iterated generalized Cauchy-Riemann operator in Clifford analysis ⋮ A Cauchy-Pompeiu representation formula using Dirac operator and its applications in some piecewise constant structure relations ⋮ Nonlinear half-dirichlet problems for first order elliptic equations in the unit ball of Rm(m≥3) ⋮ Some properties of the Teodorescu operator related to the α-Dirac operator ⋮ On Dirichlet type problems of polynomial Dirac equations with boundary conditions ⋮ Solutions to polynomial generalized Bers-Vekua equations in Clifford analysis ⋮ Riemann boundary value problems for iterated Dirac operator on the ball in Clifford analysis ⋮ \(H_\lambda\)-regular vector functions and their boundary value problems ⋮ Riemann boundary value problems on the sphere in Clifford analysis ⋮ Series representation of solutions of polynomial Dirac equations ⋮ Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries ⋮ On generalized Vekua type problems ⋮ Some properties of the higher spin Laplace operator ⋮ A kind of Riemann boundary value problems for pseudo-harmonic functions in Clifford analysis ⋮ Cauchy-Green Type Formulae in Clifford Analysis ⋮ Boundary value problems for non-linear first order systems of partial differential equations in higher dimensions, especially in three dimensions ⋮ Boundary value problems for Dirac operators and Maxwell's equations in fractal domains ⋮ On generalized Helmholtz type equations in concentric annular domains in ℝ3 ⋮ The structure of the solutions of polynomial Dirac equations in real Clifford analysis ⋮ Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean space ⋮ Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis ⋮ \((m,h)\)-monogenic functions related to axially symmetric Helmholtz equations ⋮ Schwarz-type lemmas associated to a Helmholtz equation ⋮ Solutions for the Lévy-Leblond or parabolic Dirac equation and its generalizations ⋮ Multi‐periodic eigensolutions to the Dirac operator and applications to the generalized Helmholtz equation on flat cylinders and on the n‐torus ⋮ Boundary value problems associated to a Hermitian Helmholtz equation ⋮ Far-field patterns of solutions of the perturbed Dirac equation ⋮ Eigenvalue problems for slice functions ⋮ Dirac operators with gradient potentials and related monogenic functions ⋮ Explicit representations of the regular solutions to the time‐harmonic Maxwell equations combined with the radial symmetric Euler operator ⋮ Factorization of the nonlinear Schrödinger equation and applications ⋮ Iterated integral operators in Clifford analysis ⋮ Green function of the inhomogeneous Helmholtz equation with nonuniform refraction index, using quaternion analysis ⋮ Helmholtz operator with a quaternionic wave number and associated function theory. II: Integral representations ⋮ A Dirichlet problem for the first order inhomogeneous meta-monogenic equation in parameter depending Clifford algebras
This page was built for publication: A function theory for the operator D-λ