Integral Representations Related to Complex Partial Differential Operators
DOI10.1007/978-81-322-2452-5_1zbMath1323.31005OpenAlexW1698338292MaRDI QIDQ3449404
Publication date: 4 November 2015
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-81-322-2452-5_1
integral representationspolyharmonic equationshybrid polyharmonic Green functionsiterated polyharmonic Green and Neumann functionspolyanalytic equationspolyharmonic Green-Almansi functions
Integral representations of solutions to PDEs (35C15) Boundary value problems in the complex plane (30E25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems for linear higher-order PDEs (35G15) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Higher-order elliptic equations (35J30) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Green's functions for elliptic equations (35J08)
Related Items (1)
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
- Iterated polyharmonic Green functions for plane domains
- \(L^p\) polyharmonic Dirichlet problems in regular domains. II: The upper half plane
- The Schwarz problem for polyanalytic functions
- A Dirichlet problem for polyharmonic functions
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Neumann problem for generalized \(n\)-Poisson equation
- Harmonic boundary value problems in half disc and half ring
- Iterated integral operators in Clifford analysis
- A hierarchy of integral operators
- A Robin boundary value problem in the upper half plane for the Bitsadze equation
- Polyharmonic Dirichlet problems
- \(L^p\) polyharmonic Dirichlet problems in regular domains. IV: The upper-half space
- Erratum: Harmonic boundary value problems in a quarter ring domain [Adv. Pure Appl. Math. 3 (2012), 393–419]
- LpPolyharmonic Dirichlet problems in regular domains I: the unit disc
- Two basic boundary-value problems for the inhomogeneous Cauchy–Riemann equation in an infinite sector
- Green function for a hyperbolic strip and a class of related plane domains
- Boundary Value Problems and Method of Reflection for Quarter Ring and Half Hexagon
- Harmonic Dirichlet Problem in a Ring Sector
- The Parqueting-Reflection Principle
- How to find harmonic Green functions in the plane
- Harmonic Dirichlet problem for some equilateral triangle
- Bi-polyanalytic functions on the upper half plane
- Differential operators, their fundamental solutions and related integral representations in Clifford analysis
- Boundary value problems for bi-polyanalytic functions
- Green function representation for the Dirichlet problem of the polyharmonic equation in a sphere
- Some harmonic Robin functions in the complex plane
- Mixed boundary value problems for higher-order complex partial differential equations
- Neumann problem for the Beltrami operator and for second order operators with Poisson/Bitsadze operator as main part
- Orthogonal decompositions of the function space L2( ;ℂ)
- Harmonic Green and Neumann representations in a triangle, quarter-disc and octo-plane
- Modified harmonic Robin function
- Schwarz problem in lens and lune
- Lppolyharmonic Dirichlet problems in regular domains III: The unit ball
- Iterated boundary value problems for the inhomogeneous polyanalytic equation
- Iterated Neumann problem for the higher order Poisson equation
- Robin boundary value problem for the Cauchy-Riemann operator
This page was built for publication: Integral Representations Related to Complex Partial Differential Operators
