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Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
-
Maria Manfredini
Published/Copyright:
September 1, 2012
Abstract.
We adapt Levi's
parametrix method to construct local fundamental solutions 
for operators of the form 
,
where 
are Hörmander
vector fields
of step 2 having non-smooth coefficients. We
also provide estimates of and of its derivatives.
Keywords: Sub-elliptic operators; fundamental
solutions
Received: 2008-09-15
Revised: 2010-09-27
Published Online: 2012-09-01
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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- Masthead
- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
- Kuykian fields
- Multivariable manifold calculus of functors
- Weighted geometric means
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Articles in the same Issue
- Masthead
- Conjugacy in normal subgroups of hyperbolic groups
- Surgery obstructions on closed manifolds and the inertia subgroup
- Higher integrability in parabolic obstacle problems
- Fundamental solutions for sum of squares of vector fields operators with C1,α coefficients
- Kuykian fields
- Multivariable manifold calculus of functors
- Weighted geometric means
- Kaplansky classes, finite character and ℵ1-projectivity
