Zobrazeno 1 - 10
of 109
pro vyhledávání: '"Giorgio Metafune"'
Publikováno v:
Trends in Mathematics ISBN: 9783031200205
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::929cea625880469be19c541e430940b3
https://doi.org/10.1007/978-3-031-20021-2_20
https://doi.org/10.1007/978-3-031-20021-2_20
Publikováno v:
Journal of Evolution Equations. 21:3613-3637
We prove maximal regularity for parabolic problems associated to the second-order elliptic operator $$\begin{aligned} L =\Delta +(a-1)\sum _{i,j=1}^N\frac{x_ix_j}{|x|^2}D_{ij}+c\frac{x}{|x|^2}\cdot \nabla -b|x|^{-2} \end{aligned}$$ L = Δ + ( a - 1 )
Publikováno v:
Discrete and Continuous Dynamical Systems - S.
We prove \begin{document}$ L^p $\end{document} estimates for the degenerate operator \begin{document}$ \mathcal L = \Delta +c\frac{y}{|y|^2}\cdot\nabla_y-\frac{b}{|y|^{2}} $\end{document} in \begin{document}$ L^p( \mathbb{R}^{N+M},\ |y|^c\,dx\,dy) $\
Publikováno v:
Functional Analysis and Geometry. :175-184
We describe the spectrum of degenerate hypoelliptic Ornstein-Uhlenbeck operators A = ∑ i , j = 1 n q i j D i j + ∑ i , j = 1 n b i j x j D i in L p ( R n ) , 1 ≤ p + ∞ , and in C 0 ( R n ) . We show that the spectrum of A is the sum of ( −
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b067908b7153c0248fda1b1c74f1811
https://hdl.handle.net/11587/459058
https://hdl.handle.net/11587/459058
Publikováno v:
Università del Salento-IRIS
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::51ba4b2e53ef7b7fb8b75611c4c245a8
https://hdl.handle.net/11587/447582
https://hdl.handle.net/11587/447582
Publikováno v:
Università del Salento-IRIS
We study parabolic problems associated to the second-order elliptic operator $$L = \Delta + (a-1)\sum_{i,j=1}^N\frac{x_{i}x_{j}}{|x|^2}D_{ij}+c\frac{x}{|x|^2}\cdot\nabla - b|x|^{-2}$$ with a > 0 and b, c real coefficients and prove kernel estimates f
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :413-414
The proof of Proposition 3.18 in [1] contains a mistake since an r2 appeared erroneously, instead of r, in the equation for w. The statement is however correct and below is an amended proof.
Publikováno v:
Mediterranean Journal of Mathematics. 16
We consider the second-order elliptic operator $$\begin{aligned} L =\Delta +(a-1)\sum _{i,j=1}^N\frac{x_ix_j}{|x|^2}D_{ij}+c\frac{x}{|x|^2}\cdot \nabla -\frac{b}{|x|^{2}}, \end{aligned}$$$$a>0$$, $$b,\ c \in \mathbb {R}$$ and we prove gradient estima
Autor:
Giorgio Metafune, Choulli, M.
Publikováno v:
Università del Salento-IRIS
We establish two-sided Gaussian bounds for fundamental solutions of general non-divergence form parabolic operators with H\"older continuous coefficients. The result we obtain is essentially based on parametrix method.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ba0e695633034ea9d94b4d186cdad1f
https://hal.archives-ouvertes.fr/hal-02406173/file/HeatKernels_SV.pdf
https://hal.archives-ouvertes.fr/hal-02406173/file/HeatKernels_SV.pdf