Commutative quaternions, spectral analysis and boundary value problems
DOI10.1080/17476933.2010.534148zbMath1251.30050OpenAlexW2137008445MaRDI QIDQ4648503
Publication date: 9 November 2012
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476933.2010.534148
Functions of hypercomplex variables and generalized variables (30G35) Boundary value problems in the complex plane (30E25) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Other generalizations of analytic functions (including abstract-valued functions) (30G30) Differential operators in several variables (32W99) Generalizations of analytic spaces (32K99)
Cites Work
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- An introduction to commutative quaternions
- Quaternions, evaluation of integrals and boundary value problems
- Clifford analysis over unbounded domains
- On the relationship between \(p\)-analytic functions and Schrödinger equation
- Integrable Nonlinear Evolution Partial Differential Equations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>4</mml:mn><mml:mo>+</mml:mo><mml:mn>2</mml:mn></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>3</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions
- The Dbar formalism for certain linear non-homogeneous elliptic PDEs in two dimensions
- A Unified Approach to Boundary Value Problems
- The Klein–Gordon Equation in a Domain with Time‐Dependent Boundary
- Complexified clifford analysis
- A unified transform method for solving linear and certain nonlinear PDEs
- On a transform method for the Laplace equation in a polygon
- The generalized Dirichlet-to-Neumann map for certain nonlinear evolution PDEs
- Linear spectral problems, non-linear equations and the δ-method
- Segre quaternions, spectral analysis and a four-dimensional Laplace equation
- The Klein-Gordon Equation on the Half Line: a Riemann-Hilbert Approach
- A transform method for linear evolution PDEs on a finite interval
- The elliptic sine-Gordon equation in a half plane
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