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Titlebook: An Invitation to Hypoelliptic Operators and Hörmander‘s Vector Fields; Marco Bramanti Book 2014 The Author(s) 2014 Hörmander‘s operators.H

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楼主: collude
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https://doi.org/10.1007/978-3-531-19739-5ial geometric tools. The chapter surveys three fundamental papers of the middle 1970’s on this subject, which introduced a number of ideas and techniques which are still part of the indispensable background in this area.
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,Hörmander’s Operators: Why they are Studied,rical” motivations for this field of research, namely Kolmogorov-Fokker-Planck equations arising in the study of stochastic systems, and some relevant PDEs which arise in the theory of several complex variables, in particular the Kohn-Laplacian on the Heisenberg group.
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,A Priori Estimates in Sobolev Spaces for Hörmander’s Operators,ial geometric tools. The chapter surveys three fundamental papers of the middle 1970’s on this subject, which introduced a number of ideas and techniques which are still part of the indispensable background in this area.
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,Geometry of Hörmander’s Vector Fields,induced by a system of vector fields, which are contained in some papers of the middle 1980’s. This area is by a now an independent field of study, but here we are mainly interested in its relevance in connection with the study of second order PDEs of Hörmander’s type.
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2191-8198 ch. 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..978-3-319-02086-0978-3-319-02087-7Series ISSN 2191-8198 Series E-ISSN 2191-8201
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