Author: Marco BramantiPublisher: American Mathematical Soc.
ISBN: 0821849034
Category : Mathematics
Languages : en
Pages : 136
Book Description
"March 2010, Volume 204, number 961 (end of volume)."
Non-Divergence Equations Structured on Hormander Vector Fields: Heat Kernels and Harnack Inequalities
Author: Marco BramantiPublisher: American Mathematical Soc.
ISBN: 0821849034
Category : Mathematics
Languages : en
Pages : 136
Book Description
"March 2010, Volume 204, number 961 (end of volume)."
Non-divergence Equations Structured on Hörmander Vector Fields
Author: Publisher: American Mathematical Soc.
ISBN: 0821867024
Category : Mathematics
Languages : en
Pages : 136
Book Description
"March 2010, Volume 204, number 961 (end of volume)."
An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields
Author: Marco BramantiPublisher: Springer Science & Business Media
ISBN: 3319020870
Category : Mathematics
Languages : en
Pages : 157
Book Description
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.
Maximal Subellipticity
Author: Brian StreetPublisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111085643
Category : Mathematics
Languages : en
Pages : 768
Book Description
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.
$C^*$-Algebras of Homoclinic and Heteroclinic Structure in Expansive Dynamics
Author: Klaus ThomsenPublisher: American Mathematical Soc.
ISBN: 0821846922
Category : Mathematics
Languages : en
Pages : 138
Book Description
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.
Geometric Analysis and PDEs
Author: Matthew J. GurskyPublisher: Springer
ISBN: 364201674X
Category : Mathematics
Languages : en
Pages : 296
Book Description
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.
On Systems of Equations Over Free Partially Commutative Groups
Author: Montserrat Casals-RuizPublisher: American Mathematical Soc.
ISBN: 0821852582
Category : Mathematics
Languages : en
Pages : 168
Book Description
"Volume 212, number 999 (end of volume)."
On a Conjecture of E. M. Stein on the Hilbert Transform on Vector Fields
Author: Michael Thoreau LaceyPublisher: American Mathematical Soc.
ISBN: 0821845403
Category : Mathematics
Languages : en
Pages : 87
Book Description
"Volume 205, number 965 (fourth of 5 numbers)."
Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates
Author: Steve HofmannPublisher: American Mathematical Soc.
ISBN: 0821852388
Category : Mathematics
Languages : en
Pages : 91
Book Description
Let $X$ be a metric space with doubling measure, and $L$ be a non-negative, self-adjoint operator satisfying Davies-Gaffney bounds on $L^2(X)$. In this article the authors present a theory of Hardy and BMO spaces associated to $L$, including an atomic (or molecular) decomposition, square function characterization, and duality of Hardy and BMO spaces. Further specializing to the case that $L$ is a Schrodinger operator on $\mathbb{R}^n$ with a non-negative, locally integrable potential, the authors establish additional characterizations of such Hardy spaces in terms of maximal functions. Finally, they define Hardy spaces $H^p_L(X)$ for $p>1$, which may or may not coincide with the space $L^p(X)$, and show that they interpolate with $H^1_L(X)$ spaces by the complex method.
Geometric Methods in PDE’s
Author: Giovanna CittiPublisher: Springer
ISBN: 3319026666
Category : Mathematics
Languages : en
Pages : 381
Book Description
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.