Approximation schemes for non-linear second order equations on the Heisenberg group (Q2351678)
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| Language | Label | Description | Also known as |
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| English | Approximation schemes for non-linear second order equations on the Heisenberg group |
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Approximation schemes for non-linear second order equations on the Heisenberg group (English)
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26 June 2015
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The author considers fully non-linear PDE on the Heisenberg group. A method to find approximation schemes converging to viscosity solutions is given, by first providing sub and super viscosity solutions, then obtaining the full viscosity solution when a comparison principle is available. Some examples are shown, namely, Laplace's equation, Poisson's equation, general equations in divergence form and the parabolic infinite Laplacian.
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non linear PDE
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Heisenberg group
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approximation schemes, viscosity solutions
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