Fundamental solutions for non-divergence form operators on stratified groups
By Andrea Bonfiglioli, E. Lanconelli, Francesco Uguzzoni. 2003
47 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8d4ceb1a6f1208f1d9918d861248574b0c67fb53
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In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Schauder estimates for parabolic nondivergence operators of Hörmander type (2007, background): “uniformly in Ω or U (see [2] for (1.”
- A Cortical Based Model of Perceptual Completion in the Roto-Translation Space (2006, methodology): “The expression of the fundamental solution is not known explicitly, but it can be approximated locally in time, with the parametrix method of Miranda (see [57], for the application of the method to general sub-Elliptic operators—see also [8]).”
- Regularity of non-characteristic minimal graphs in the Heisenberg group $H^1$ (2008, background): “Precise estimates for the fundamental solution Γx0 have been established in [32] and [4], while in [15] it is proved that the fundamental solution Γε,x0 of Nε,x0 locally satisfies the same estimates as the limit kernel Γx0 , with choice of constants independent of ε.”