LEADER 01965oam 2200433 450 001 9910299964203321 005 20190911112725.0 010 $a3-319-02087-0 024 7 $a10.1007/978-3-319-02087-7 035 $a(OCoLC)868593013 035 $a(MiFhGG)GVRL6XNO 035 $a(EXLCZ)993710000000074680 100 $a20130829d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 13$aAn invitation to hypoelliptic operators and Hormander's vector fields /$fMarco Bramanti 205 $a1st ed. 2014. 210 1$aCham, Switzerland :$cSpringer,$d2014. 215 $a1 online resource (xi, 150 pages) $cillustrations 225 1 $aSpringerBriefs in Mathematics,$x2191-8198 300 $a"ISSN: 2191-8198." 311 $a3-319-02086-2 320 $aIncludes bibliographical references. 327 $a1 Hörmander's operators: what they are -- 2 Hörmander's operators: why they are studied -- 3 A priori estimates in Sobolev spaces -- 4 Geometry of Hörmander's vector fields -- 5 Beyond Hörmander's operators. 330 $aHörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines of development. 410 0$aSpringerBriefs in mathematics. 606 $aHypoelliptic operators 615 0$aHypoelliptic operators. 676 $a515 700 $aBramanti$b Marco$4aut$4http://id.loc.gov/vocabulary/relators/aut$0284761 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910299964203321 996 $aInvitation to hypoelliptic operators and Hörmander's vector fields$91410208 997 $aUNINA