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Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields


Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields
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Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields


Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields
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Author : Paolo Albano
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-01-25

Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields written by Paolo Albano and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-25 with Mathematics categories.


The authors study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. They prove hypoanalyticity for several classes of sums of squares and show that their method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.



Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields


Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields
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Author : Paolo Albano
language : en
Publisher:
Release Date : 2012

Wave Front Set Of Solutions To Sums Of Squares Of Vector Fields written by Paolo Albano and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Summability theory categories.


We study the (micro)hypoanalyticity and the Gevrey hypoellipticity of sums of squares of vector fields in terms of the Poisson-Treves stratification. The FBI transform is used. We prove hypoanalyticity for several classes of sums of squares and show that our method, though not general, includes almost every known hypoanalyticity result. Examples are discussed.



A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials


A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials
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Author : Florica C. Cîrstea
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08

A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials written by Florica C. Cîrstea and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.


In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]one, thus addressing an open question of Vázquez and Véron.



Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions


Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions
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Author : Jean-Bernard Bru
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28

Non Cooperative Equilibria Of Fermi Systems With Long Range Interactions written by Jean-Bernard Bru and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-28 with Mathematics categories.


The authors define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and make explicit the structure of (generalized) equilibrium states for any $\mathfrak{m}\in \mathcal{M}_{1}$. In particular, the authors give a first answer to an old open problem in mathematical physics--first addressed by Ginibre in 1968 within a different context--about the validity of the so-called Bogoliubov approximation on the level of states. Depending on the model $\mathfrak{m}\in \mathcal{M}_{1}$, the authors' method provides a systematic way to study all its correlation functions at equilibrium and can thus be used to analyze the physics of long range interactions. Furthermore, the authors show that the thermodynamics of long range models $\mathfrak{m}\in \mathcal{M}_{1}$ is governed by the non-cooperative equilibria of a zero-sum game, called here thermodynamic game.



Characterization And Topological Rigidity Of Nobeling Manifolds


Characterization And Topological Rigidity Of Nobeling Manifolds
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Author : Andrzej Nagórko
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-22

Characterization And Topological Rigidity Of Nobeling Manifolds written by Andrzej Nagórko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.


The author develops a theory of Nobeling manifolds similar to the theory of Hilbert space manifolds. He shows that it reflects the theory of Menger manifolds developed by M. Bestvina and is its counterpart in the realm of complete spaces. In particular the author proves the Nobeling manifold characterization conjecture.



The Poset Of K Shapes And Branching Rules For K Schur Functions


The Poset Of K Shapes And Branching Rules For K Schur Functions
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Author : Thomas Lam
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-22

The Poset Of K Shapes And Branching Rules For K Schur Functions written by Thomas Lam and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.


The authors give a combinatorial expansion of a Schubert homology class in the affine Grassmannian $\mathrm{Gr}_{\mathrm{SL}_k}$ into Schubert homology classes in $\mathrm{Gr}_{\mathrm{SL}_{k+1}}$. This is achieved by studying the combinatorics of a new class of partitions called $k$-shapes, which interpolates between $k$-cores and $k+1$-cores. The authors define a symmetric function for each $k$-shape, and show that they expand positively in terms of dual $k$-Schur functions. They obtain an explicit combinatorial description of the expansion of an ungraded $k$-Schur function into $k+1$-Schur functions. As a corollary, they give a formula for the Schur expansion of an ungraded $k$-Schur function.



Gromov Cauchy And Causal Boundaries For Riemannian Finslerian And Lorentzian Manifolds


Gromov Cauchy And Causal Boundaries For Riemannian Finslerian And Lorentzian Manifolds
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Author : Jose Luis Flores
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23

Gromov Cauchy And Causal Boundaries For Riemannian Finslerian And Lorentzian Manifolds written by Jose Luis Flores and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.


Recently, the old notion of causal boundary for a spacetime V has been redefined consistently. The computation of this boundary ∂V on any standard conformally stationary spacetime V=R×M, suggests a natural compactification MB associated to any Riemannian metric on M or, more generally, to any Finslerian one. The corresponding boundary ∂BM is constructed in terms of Busemann-type functions. Roughly, ∂BM represents the set of all the directions in M including both, asymptotic and "finite" (or "incomplete") directions. This Busemann boundary ∂BM is related to two classical boundaries: the Cauchy boundary ∂CM and the Gromov boundary ∂GM. The authors' aims are: (1) to study the subtleties of both, the Cauchy boundary for any generalized (possibly non-symmetric) distance and the Gromov compactification for any (possibly incomplete) Finsler manifold, (2) to introduce the new Busemann compactification MB, relating it with the previous two completions, and (3) to give a full description of the causal boundary ∂V of any standard conformally stationary spacetime. J. L. Flores and J. Herrera, University of Malaga, Spain, and M. Sánchez, University of Granada, Spain. Publisher's note.



On The Steady Motion Of A Coupled System Solid Liquid


On The Steady Motion Of A Coupled System Solid Liquid
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Author : Josef Bemelmans
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23

On The Steady Motion Of A Coupled System Solid Liquid written by Josef Bemelmans and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.


We study the unconstrained (free) motion of an elastic solid B in a Navier-Stokes liquid L occupying the whole space outside B, under the assumption that a constant body force b is acting on B. More specifically, we are interested in the steady motion of the coupled system {B,L}, which means that there exists a frame with respect to which the relevant governing equations possess a time-independent solution. We prove the existence of such a frame, provided some smallness restrictions are imposed on the physical parameters, and the reference configuration of B satisfies suitable geometric properties.



The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates


The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates
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Author : Robert J. Buckingham
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-23

The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates written by Robert J. Buckingham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-23 with Mathematics categories.


The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases.



On Some Aspects Of Oscillation Theory And Geometry


On Some Aspects Of Oscillation Theory And Geometry
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Author : Bruno Bianchini
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-23

On Some Aspects Of Oscillation Theory And Geometry written by Bruno Bianchini and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-23 with Mathematics categories.


The aim of this paper is to analyze some of the relationships between oscillation theory for linear ordinary differential equations on the real line (shortly, ODE) and the geometry of complete Riemannian manifolds. With this motivation the authors prove some new results in both directions, ranging from oscillation and nonoscillation conditions for ODE's that improve on classical criteria, to estimates in the spectral theory of some geometric differential operator on Riemannian manifolds with related topological and geometric applications. To keep their investigation basically self-contained, the authors also collect some, more or less known, material which often appears in the literature in various forms and for which they give, in some instances, new proofs according to their specific point of view.