Non-divergence equations structured on Hörmander vector fields : heat kernels and Harnack inequalities /
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| Imprint: | Providence, R.I. : American Mathematical Society, 2010. |
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| Description: | vi, 123 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; no. 961 Memoirs of the American Mathematical Society ; no. 961. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/7936944 |
| Summary: | In this work the authors deal with linear second order partial differential operators of the following type $H=\partial_{{t}}-L=\partial_{{t}}-\sum_{{i,j=1}}^{{q}}a_{{ij}}(t,x) X_{{i}}X_{{j}}-\sum_{{k=1}}^{{q}}a_{{k}}(t,x)X_{{k}}-a_{{0}}(t,x)$ where $X_{{1}},X_{{2}},\ldots,X_{{q}}$ is a system of real Hormander's vector fields in some bounded domain $\Omega\subseteq\mathbb{{R}}^{{n}}$, $A=\left\{{ a_{{ij}}\left( t,x\right) \right\}} _{{i,j=1}}^{{q}}$ is a real symmetric uniformly positive definite matrix such that $\lambda^{{-1}}\vert\xi\vert^{{2}}\leq\sum_{{i,j=1}}^{{q}}a_{{ij}}(t,x) \xi_{{i}}\xi_{{j}}\leq\lambda\vert\xi\vert^{{2}}\text{{}}\forall\xi\in\mathbb{{R}}^{{q}}, x \in\Omega,t\in(T_{{1}},T_{{2}})$ for a suitable constant $\lambda> 0$ a for some real numbers $T_{{1}} |
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| Item Description: | "Volume 204, number 961 (end of volume)." |
| Physical Description: | vi, 123 p. : ill. ; 26 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9780821849033 0821849034 |
| ISSN: | 0065-9266 ; |
