Download Full eBooks in PDF
Boundary Conditions And Subelliptic Estimates For Geometric Kramers Fokker Planck Operators On Manifolds With Boundaries Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Boundary Conditions And Subelliptic Estimates For Geometric Kramers Fokker Planck Operators On Manifolds With Boundaries book. This book definitely worth reading, it is an incredibly well-written.
Author : Francis Nier
Publisher : Unknown
Page : 144 pages
File Size : 44,7 Mb
Release : 2018
Category : Geometry, Differential
ISBN : 1470443694
Author : Francis Nier
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 51,9 Mb
Release : 2018-03-19
Category : Electronic
ISBN : 9781470428020
This article is concerned with the maximal accretive realizations of geometric Kramers-Fokker-Planck operators on manifolds with boundaries. A general class of boundary conditions is introduced which ensures the maximal accretivity and some global subelliptic estimates. Those estimates imply nice spectral properties as well as exponential decay properties for the associated semigroup. Admissible boundary conditions cover a wide range of applications for the usual scalar Kramer-Fokker-Planck equation or Bismut's hypoelliptic laplacian.
Author : T. Alazard,N. Burq,C. Zuily
Publisher : American Mathematical Soc.
Page : 108 pages
File Size : 55,9 Mb
Release : 2019-01-08
Category : Cauchy problem
ISBN : 9781470432034
This memoir is devoted to the proof of a well-posedness result for the gravity water waves equations, in arbitrary dimension and in fluid domains with general bottoms, when the initial velocity field is not necessarily Lipschitz. Moreover, for two-dimensional waves, the authors consider solutions such that the curvature of the initial free surface does not belong to L2. The proof is entirely based on the Eulerian formulation of the water waves equations, using microlocal analysis to obtain sharp Sobolev and Hölder estimates. The authors first prove tame estimates in Sobolev spaces depending linearly on Hölder norms and then use the dispersive properties of the water-waves system, namely Strichartz estimates, to control these Hölder norms.
Author : Sebastiano Carpi,Yasuyuki Kawahigashi,Roberto Longo,Mihály Weiner
Publisher : American Mathematical Soc.
Page : 85 pages
File Size : 54,6 Mb
Release : 2018-08-09
Category : Conformal invariants
ISBN : 9781470428587
The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net AV acting on the Hilbert space completion of V and prove that the isomorphism class of AV does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra V, the map W↦AW gives a one-to-one correspondence between the unitary subalgebras W of V and the covariant subnets of AV.
Author : Werner Hoffmann,Satoshi Wakatsuki
Publisher : American Mathematical Soc.
Page : 88 pages
File Size : 55,9 Mb
Release : 2018-10-03
Category : Electronic
ISBN : 9781470431020
The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke -functions, and the Shintani zeta function for the space of binary quadratic forms.
Author : Anne-Laure Dalibard,Laure Saint-Raymond
Publisher : American Mathematical Soc.
Page : 111 pages
File Size : 44,9 Mb
Release : 2018-05-29
Category : Boundary layer
ISBN : 9781470428358
Author : Alexandru D. Ionescu,Fabio Pusateri
Publisher : American Mathematical Soc.
Page : 123 pages
File Size : 42,5 Mb
Release : 2019-01-08
Category : Capillarity
ISBN : 9781470431037
The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves system), and prove global regularity and modified scattering for suitably small and localized perturbations of a flat interface. An important point of the authors' analysis is to develop a sufficiently robust method (the “quasilinear I-method”) which allows the authors to deal with strong singularities arising from time resonances in the applications of the normal form method (the so-called “division problem”). As a result, they are able to consider a suitable class of perturbations with finite energy, but no other momentum conditions. Part of the authors' analysis relies on a new treatment of the Dirichlet-Neumann operator in dimension two which is of independent interest. As a consequence, the results in this paper are self-contained.
Author : Alexander Nagel,Fulvio Ricci,Elias M. Stein,Stephen Wainger
Publisher : American Mathematical Soc.
Page : 141 pages
File Size : 52,9 Mb
Release : 2019-01-08
Category : Algebra
ISBN : 9781470434380
The authors study algebras of singular integral operators on R and nilpotent Lie groups that arise when considering the composition of Calderón-Zygmund operators with different homogeneities, such as operators occuring in sub-elliptic problems and those arising in elliptic problems. These algebras are characterized in a number of different but equivalent ways: in terms of kernel estimates and cancellation conditions, in terms of estimates of the symbol, and in terms of decompositions into dyadic sums of dilates of bump functions. The resulting operators are pseudo-local and bounded on for . . While the usual class of Calderón-Zygmund operators is invariant under a one-parameter family of dilations, the operators studied here fall outside this class, and reflect a multi-parameter structure.
Author : Lior Fishman,David Simmons,Mariusz Urbański
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 51,5 Mb
Release : 2018-08-09
Category : Electronic
ISBN : 9781470428860
In this paper, the authors provide a complete theory of Diophantine approximation in the limit set of a group acting on a Gromov hyperbolic metric space. This summarizes and completes a long line of results by many authors, from Patterson's classic 1976 paper to more recent results of Hersonsky and Paulin (2002, 2004, 2007). The authors consider concrete examples of situations which have not been considered before. These include geometrically infinite Kleinian groups, geometrically finite Kleinian groups where the approximating point is not a fixed point of any element of the group, and groups acting on infinite-dimensional hyperbolic space. Moreover, in addition to providing much greater generality than any prior work of which the authors are aware, the results also give new insight into the nature of the connection between Diophantine approximation and the geometry of the limit set within which it takes place. Two results are also contained here which are purely geometric: a generalization of a theorem of Bishop and Jones (1997) to Gromov hyperbolic metric spaces, and a proof that the uniformly radial limit set of a group acting on a proper geodesic Gromov hyperbolic metric space has zero Patterson–Sullivan measure unless the group is quasiconvex-cocompact. The latter is an application of a Diophantine theorem.
Author : Chin-Yu Hsiao
Publisher : American Mathematical Soc.
Page : 140 pages
File Size : 44,6 Mb
Release : 2018-08-09
Category : Electronic
ISBN : 9781470441012
Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n−1, n⩾2, and let Lk be the k-th tensor power of a CR complex line bundle L over X. Given q∈{0,1,…,n−1}, let □(q)b,k be the Gaffney extension of Kohn Laplacian for (0,q) forms with values in Lk. For λ≥0, let Π(q)k,≤λ:=E((−∞,λ]), where E denotes the spectral measure of □(q)b,k. In this work, the author proves that Π(q)k,≤k−N0F∗k, FkΠ(q)k,≤k−N0F∗k, N0≥1, admit asymptotic expansions with respect to k on the non-degenerate part of the characteristic manifold of □(q)b,k, where Fk is some kind of microlocal cut-off function. Moreover, we show that FkΠ(q)k,≤0F∗k admits a full asymptotic expansion with respect to k if □(q)b,k has small spectral gap property with respect to Fk and Π(q)k,≤0 is k-negligible away the diagonal with respect to Fk. By using these asymptotics, the authors establish almost Kodaira embedding theorems on CR manifolds and Kodaira embedding theorems on CR manifolds with transversal CR S1 action.
Author : Alastair J. Litterick
Publisher : American Mathematical Soc.
Page : 156 pages
File Size : 49,5 Mb
Release : 2018-05-29
Category : Affine algebraic groups
ISBN : 9781470428372
Author : Roelof Bruggeman,Youngju Choie,Nikolaos Diamantis
Publisher : American Mathematical Soc.
Page : 167 pages
File Size : 46,9 Mb
Release : 2018-05-29
Category : Algebraic topology
ISBN : 9781470428556
Author : Shouhei Honda
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 42,7 Mb
Release : 2018-05-29
Category : Geometry, Differential
ISBN : 9781470428549
In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.
Author : Cristian Anghel,Iustin Coandă,Nicolae Manolache
Publisher : American Mathematical Soc.
Page : 107 pages
File Size : 50,6 Mb
Release : 2018-05-29
Category : Chern classes
ISBN : 9781470428389
Author : Zhou Gang,Dan Knopf,Israel Michael Siga
Publisher : American Mathematical Soc.
Page : 78 pages
File Size : 49,8 Mb
Release : 2018-05-29
Category : Asymptotic expansions
ISBN : 9781470428402