On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation

DOI10.1007/s13324-018-0210-3zbMath1418.30045OpenAlexW2788077140MaRDI QIDQ1999837

Ramón Martin Rodríguez Dagnino, Juan Bory-Reyes, Boris A. Kats, Ricardo Abreu-Blaya

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-018-0210-3

zbMATH Keywords

boundary value problemsHelmholtz equationquaternionic analysis

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items

Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\) ⋮ On Riemann problems for monogenic functions in lower dimensional non-commutative Clifford algebras ⋮ On a Riemann-Hilbert problem for \(\Psi\)-hyperholomorphic functions in \(\mathbb{R}^m\) ⋮ Nonlinear Riemann type problems associated to Hermitian Helmholtz equations ⋮ Higher order Dirichlet-type problems in 2D complex quaternionic analysis

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universality in the 2D Ising model and conformal invariance of fermionic observables
• Jump problem and removable singularities for monogenic functions
• Poincaré-Bertrand formula on a piecewise Liapunov curve in two-dimensional
• The Plemelj-Privalov theorem in Clifford analysis
• Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain
• On a Cauchy-type integral related to the Helmholtz operator in the plane
• Quaternionic analysis and elliptic boundary value problems
• 2D quaternionic time-harmonic Maxwell system in elliptic coordinates
• Cauchy integral and singular integral operator over closed Jordan curves
• Boundedness of translation invariant operators on Hölder spaces and \(L^ p\)-spaces
• On the hilbert operator for α-hyperholomorphic function theory in
• The Plemelj–Privalov theorem in variable exponent Clifford analysis
• An estimate for the modulus of continuity of a quaternion singular Cauchy integral
• A Unified Approach to Boundary Value Problems
• On the spectra of some integral operators related to the potential theory in the plane
• On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions
• The Riemann boundary value problem on non-rectifiable curves and related questions
• On a Version of Quaternionic Function Theory Related to Mathieu Functions