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Green´s functions on the Heisenberg group
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Ajay Kumar
Published/Copyright:
April 16, 2010
Abstract
Explicit expressions for the Green´s function and Poisson kernel for quarter space and octants in the Heisenberg group H1 are obtained for circular boundary data. Using Poisson kernel, inhomogeneous Dirichlet problem is discussed on H1. Explicit Green´s function for the powers of Laplacian in case of Korányi ball is also given.
Published Online: 2010-04-16
Published in Print: 2010-04
© by Oldenbourg Wissenschaftsverlag, München, Germany
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- The oblique derivative problem for second order nonlinear equations of mixed type with two degenerate lines
- On the length of level sets of real functions
- Green´s functions on the Heisenberg group
- Mixed boundary value problems for higher-order complex partial differential equations
- Part I: Theory of potential of convergence Part II: Applications in the field of ordinary differential equations
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Keywords for this article
Heisenberg group;
sub-Laplacian;
Green's function;
Poisson kernel;
Dirichlet problem
Articles in the same Issue
- To the theory of anisotropic plane elasticity
- The oblique derivative problem for second order nonlinear equations of mixed type with two degenerate lines
- On the length of level sets of real functions
- Green´s functions on the Heisenberg group
- Mixed boundary value problems for higher-order complex partial differential equations
- Part I: Theory of potential of convergence Part II: Applications in the field of ordinary differential equations
- On zeros and boundary behavior of bounded harmonic functions
