Non Divergence Equations Structured On Hormander Vector Fields Heat Kernels And Harnack Inequalities

Author : Marco Bramanti
Publisher : American Mathematical Soc.
ISBN 13 : 0821849034
Total Pages : 136 pages
Book Rating : 4.33/5 ( download)

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Download or read book Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities written by Marco Bramanti and published by American Mathematical Soc.. This book was released on 2010 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: "March 2010, Volume 204, number 961 (end of volume)."

Author : Marco Bramanti
Publisher : American Mathematical Soc.
ISBN 13 : 1470425599
Total Pages : 79 pages
Book Rating : 4.93/5 ( download)

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Download or read book Fundamental Solutions and Local Solvability for Nonsmooth Hörmander’s Operators written by Marco Bramanti and published by American Mathematical Soc.. This book was released on 2017-09-25 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider operators of the form in a bounded domain of where are nonsmooth Hörmander's vector fields of step such that the highest order commutators are only Hölder continuous. Applying Levi's parametrix method the authors construct a local fundamental solution for and provide growth estimates for and its first derivatives with respect to the vector fields. Requiring the existence of one more derivative of the coefficients the authors prove that also possesses second derivatives, and they deduce the local solvability of , constructing, by means of , a solution to with Hölder continuous . The authors also prove estimates on this solution.

Author : Marco Bramanti
Publisher : Springer Science & Business Media
ISBN 13 : 3319020870
Total Pages : 157 pages
Book Rating : 4.77/5 ( download)

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Download or read book An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields written by Marco Bramanti and published by Springer Science & Business Media. This book was released on 2013-11-20 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​Hörmander'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.

Author : Matthew J. Gursky
Publisher : Springer
ISBN 13 : 364201674X
Total Pages : 296 pages
Book Rating : 4.45/5 ( download)

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Download or read book Geometric Analysis and PDEs written by Matthew J. Gursky and published by Springer. This book was released on 2009-07-31 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.

Author : Giovanna Citti
Publisher : Springer
ISBN 13 : 3319026666
Total Pages : 373 pages
Book Rating : 4.64/5 ( download)

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Download or read book Geometric Methods in PDE’s written by Giovanna Citti and published by Springer. This book was released on 2015-10-31 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications.

Author : Julio Delgado
Publisher : Springer
ISBN 13 : 3030056570
Total Pages : 269 pages
Book Rating : 4.75/5 ( download)

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Download or read book Analysis and Partial Differential Equations: Perspectives from Developing Countries written by Julio Delgado and published by Springer. This book was released on 2019-01-27 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.

Author : Klaus Thomsen
Publisher : American Mathematical Soc.
ISBN 13 : 0821846922
Total Pages : 138 pages
Book Rating : 4.26/5 ( download)

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Download or read book $C^*$-Algebras of Homoclinic and Heteroclinic Structure in Expansive Dynamics written by Klaus Thomsen and published by American Mathematical Soc.. This book was released on 2010-06-11 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author unifies various constructions of $C^*$-algebras from dynamical systems, specifically, the dimension group construction of Krieger for shift spaces, the corresponding constructions of Wagoner and Boyle, Fiebig and Fiebig for countable state Markov shifts and one-sided shift spaces, respectively, and the constructions of Ruelle and Putnam for Smale spaces. The general setup is used to analyze the structure of the $C^*$-algebras arising from the homoclinic and heteroclinic equivalence relations in expansive dynamical systems, in particular, expansive group endomorphisms and automorphisms and generalized 1-solenoids. For these dynamical systems it is shown that the $C^*$-algebras are inductive limits of homogeneous or sub-homogeneous algebras with one-dimensional spectra.

Author : Jun Kigami
Publisher : American Mathematical Soc.
ISBN 13 : 082185299X
Total Pages : 145 pages
Book Rating : 4.96/5 ( download)

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Download or read book Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates written by Jun Kigami and published by American Mathematical Soc.. This book was released on 2012-02-22 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assume that there is some analytic structure, a differential equation or a stochastic process for example, on a metric space. To describe asymptotic behaviors of analytic objects, the original metric of the space may not be the best one. Every now and then one can construct a better metric which is somehow ``intrinsic'' with respect to the analytic structure and under which asymptotic behaviors of the analytic objects have nice expressions. The problem is when and how one can find such a metric. In this paper, the author considers the above problem in the case of stochastic processes associated with Dirichlet forms derived from resistance forms. The author's main concerns are the following two problems: (I) When and how to find a metric which is suitable for describing asymptotic behaviors of the heat kernels associated with such processes. (II) What kind of requirement for jumps of a process is necessary to ensure good asymptotic behaviors of the heat kernels associated with such processes.

Author : Brian Street
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111085643
Total Pages : 768 pages
Book Rating : 4.47/5 ( download)

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Download or read book Maximal Subellipticity written by Brian Street and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-03 with total page 768 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs. Elliptic PDEs hold a special place: sharp results are known for general linear and even fully nonlinear elliptic PDEs. Over the past half-century, important results for elliptic PDEs have been generalized to maximally subelliptic PDEs. This text presents this theory and generalizes the sharp, interior regularity theory for general linear and fully nonlinear elliptic PDEs to the maximally subelliptic setting.

Author : Montserrat Casals-Ruiz
Publisher : American Mathematical Soc.
ISBN 13 : 0821852582
Total Pages : 168 pages
Book Rating : 4.83/5 ( download)

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Download or read book On Systems of Equations Over Free Partially Commutative Groups written by Montserrat Casals-Ruiz and published by American Mathematical Soc.. This book was released on 2011 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 212, number 999 (end of volume)."