Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities

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Publisher : American Mathematical Soc.
ISBN 13 : 0821849034
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities by : Marco Bramanti

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)."

Non-divergence Equations Structured on Hörmander Vector Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821867024
Total Pages : 136 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-divergence Equations Structured on Hörmander Vector Fields by :

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

An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 3319020870
Total Pages : 150 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields by : Marco Bramanti

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 150 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.

Fundamental Solutions and Local Solvability for Nonsmooth Hörmander’s Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 1470425599
Total Pages : 79 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fundamental Solutions and Local Solvability for Nonsmooth Hörmander’s Operators by : Marco Bramanti

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.

Geometric Analysis and PDEs

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Publisher : Springer Science & Business Media
ISBN 13 : 3642016731
Total Pages : 296 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Geometric Analysis and PDEs by : Matthew J. Gursky

Download or read book Geometric Analysis and PDEs written by Matthew J. Gursky and published by Springer Science & Business Media. This book was released on 2009-06-26 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.

Geometric Methods in PDE’s

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Publisher : Springer
ISBN 13 : 3319026666
Total Pages : 373 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Geometric Methods in PDE’s by : Giovanna Citti

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.

Analysis and Partial Differential Equations: Perspectives from Developing Countries

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Publisher : Springer
ISBN 13 : 3030056570
Total Pages : 269 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Analysis and Partial Differential Equations: Perspectives from Developing Countries by : Julio Delgado

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.

$C^*$-Algebras of Homoclinic and Heteroclinic Structure in Expansive Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846922
Total Pages : 138 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis $C^*$-Algebras of Homoclinic and Heteroclinic Structure in Expansive Dynamics by : Klaus Thomsen

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.

Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates

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Publisher : American Mathematical Soc.
ISBN 13 : 082185299X
Total Pages : 145 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Resistance Forms, Quasisymmetric Maps and Heat Kernel Estimates by : Jun Kigami

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.

Maximal Subellipticity

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111085643
Total Pages : 768 pages
Book Rating : 4.1/5 (11 download)

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Book Synopsis Maximal Subellipticity by : Brian Street

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.

On Systems of Equations Over Free Partially Commutative Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 0821852582
Total Pages : 168 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On Systems of Equations Over Free Partially Commutative Groups by : Montserrat Casals-Ruiz

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)."

On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields

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Publisher : American Mathematical Soc.
ISBN 13 : 0821845403
Total Pages : 87 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields by : Michael Thoreau Lacey

Download or read book On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields written by Michael Thoreau Lacey and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume 205, number 965 (fourth of 5 numbers)."

The Generalised Jacobson-Morosov Theorem

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Publisher : American Mathematical Soc.
ISBN 13 : 082184895X
Total Pages : 135 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Generalised Jacobson-Morosov Theorem by : Peter O'Sullivan

Download or read book The Generalised Jacobson-Morosov Theorem written by Peter O'Sullivan and published by American Mathematical Soc.. This book was released on 2010-08-06 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers homomorphisms $H \to K$ from an affine group scheme $H$ over a field $k$ of characteristic zero to a proreductive group $K$. Using a general categorical splitting theorem, Andre and Kahn proved that for every $H$ there exists such a homomorphism which is universal up to conjugacy. The author gives a purely group-theoretic proof of this result. The classical Jacobson-Morosov theorem is the particular case where $H$ is the additive group over $k$. As well as universal homomorphisms, the author considers more generally homomorphisms $H \to K$ which are minimal, in the sense that $H \to K$ factors through no proper proreductive subgroup of $K$. For fixed $H$, it is shown that the minimal $H \to K$ with $K$ reductive are parametrised by a scheme locally of finite type over $k$.

Supported Blow-Up and Prescribed Scalar Curvature on $S^n$

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Publisher : American Mathematical Soc.
ISBN 13 : 0821853376
Total Pages : 112 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Supported Blow-Up and Prescribed Scalar Curvature on $S^n$ by : Man Chun Leung

Download or read book Supported Blow-Up and Prescribed Scalar Curvature on $S^n$ written by Man Chun Leung and published by American Mathematical Soc.. This book was released on 2011 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author expounds the notion of supported blow-up and applies it to study the renowned Nirenberg/Kazdan-Warner problem on $S^n$. When $n \ge 5$ and under some mild conditions, he shows that blow-up at a point with positive definite Hessian has to be a supported isolated blow-up, which, when combined with a uniform volume bound, is a removable singularity. A new asymmetric condition is introduced to exclude single simple blow-up. These enable the author to obtain a general existence theorem for $n \ge 5$ with rather natural condition.

The Moment Maps in Diffeology

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847090
Total Pages : 85 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The Moment Maps in Diffeology by : Patrick Iglesias-Zemmour

Download or read book The Moment Maps in Diffeology written by Patrick Iglesias-Zemmour and published by American Mathematical Soc.. This book was released on 2010 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This memoir presents a generalization of the moment maps to the category {Diffeology}. This construction applies to every smooth action of any diffeological group G preserving a closed 2-form w, defined on some diffeological space X. In particular, that reveals a universal construction, associated to the action of the whole group of automorphisms Diff (X, w). By considering directly the space of momenta of any diffeological group G, that is the space g* of left-invariant 1-forms on G, this construction avoids any reference to Lie algebra or any notion of vector fields, or does not involve any functional analysis. These constructions of the various moment maps are illustrated by many examples, some of them originals and others suggested by the mathematical literature."--Publisher's description.

Topological Classification of Families of Diffeomorphisms Without Small Divisors

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847481
Total Pages : 183 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topological Classification of Families of Diffeomorphisms Without Small Divisors by : Javier Ribón

Download or read book Topological Classification of Families of Diffeomorphisms Without Small Divisors written by Javier Ribón and published by American Mathematical Soc.. This book was released on 2010 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author gives a complete topological classification for germs of one-parameter families of one-dimensional complex analytic diffeomorphisms without small divisors. In the non-trivial cases the topological invariants are given by some functions attached to the fixed points set plus the analytic class of the element of the family corresponding to the special parameter. The proof is based on the structure of the limits of orbits when we approach the special parameter.

Composition Operators on Hardy-Orlicz Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 082184637X
Total Pages : 87 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Composition Operators on Hardy-Orlicz Spaces by : Pascal Lefèvre

Download or read book Composition Operators on Hardy-Orlicz Spaces written by Pascal Lefèvre and published by American Mathematical Soc.. This book was released on 2010 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The authors investigate composition operators on Hardy-Orlicz spaces when the Orlicz function Psi grows rapidly: compactness, weak compactness, to be p-summing, order bounded, ... , and show how these notions behave according to the growth of Psi. They introduce an adapted version of Carleson measure. They construct various examples showing that their results are essentially sharp. In the last part, they study the case of Bergman-Orlicz spaces."--Publisher's description.