Nonlinear Eigenvalues and Analytic-Hypoellipticity

Nonlinear Eigenvalues and Analytic-Hypoellipticity PDF Author: Ching-Chau Yu
Publisher: American Mathematical Soc.
ISBN: 0821807846
Category : Mathematics
Languages : en
Pages : 106

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Book Description
Explores the failure of analytic-hypoellipticity of two partial differential operators. The operators are sums of squares of real analytic vector fields and satisfy Hormander's condition. By reducing to an ordinary differential operator, the author shows the existence of non-linear eigenvalues, which is used to disprove analytic- hypoellipticity of the original operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Nonlinear Eigenvalues and Analytic-Hypoellipticity

Nonlinear Eigenvalues and Analytic-Hypoellipticity PDF Author: Ching-Chau Yu
Publisher: American Mathematical Soc.
ISBN: 0821807846
Category : Mathematics
Languages : en
Pages : 106

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Book Description
Explores the failure of analytic-hypoellipticity of two partial differential operators. The operators are sums of squares of real analytic vector fields and satisfy Hormander's condition. By reducing to an ordinary differential operator, the author shows the existence of non-linear eigenvalues, which is used to disprove analytic- hypoellipticity of the original operators. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Semiclassical Analysis of a Nonlinear Eigenvalue Problem and Analytic Hypoellipticity

Semiclassical Analysis of a Nonlinear Eigenvalue Problem and Analytic Hypoellipticity PDF Author: Bernard Helffer
Publisher:
ISBN:
Category :
Languages : en
Pages : 19

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Book Description


Several Complex Variables

Several Complex Variables PDF Author: Michael Schneider
Publisher: Cambridge University Press
ISBN: 9780521770866
Category : Mathematics
Languages : en
Pages : 582

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Book Description
Expository articles on Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry, first published in 2000.

Geometric Complex Analysis - Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan

Geometric Complex Analysis - Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan PDF Author: J Noguchi
Publisher: World Scientific
ISBN: 9814548596
Category :
Languages : en
Pages : 738

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Book Description
This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades. Through this volume one can see an active field providing insight into other fields like algebraic geometry, dynamical systems and partial differential equations.

Diffeomorphisms and Noncommutative Analytic Torsion

Diffeomorphisms and Noncommutative Analytic Torsion PDF Author: John Lott
Publisher: American Mathematical Soc.
ISBN: 0821811894
Category : Mathematics
Languages : en
Pages : 71

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Book Description
This book is intended for graduate students and research mathematicians working in global analysis and analysis on manifolds

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps

Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps PDF Author: Roger D. Nussbaum
Publisher: American Mathematical Soc.
ISBN: 0821809695
Category : Mathematics
Languages : en
Pages : 113

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Book Description
The classical Frobenius-Perron Theorem establishes the existence of periodic points of certain linear maps in ${\mathbb R} DEGREESn$. The authors present generalizations of this theorem to nonlinea

Non-Additive Exact Functors and Tensor Induction for Mackey Functors

Non-Additive Exact Functors and Tensor Induction for Mackey Functors PDF Author: Serge Bouc
Publisher: American Mathematical Soc.
ISBN: 0821819518
Category : Mathematics
Languages : en
Pages : 89

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Book Description
First the author introduces a generalization of the notion of (right)-exact functor between abelian categories to the case of non-additive functors. The main result of this section is an extension theorem: any functor defined on a suitable subcategory can be extended uniquely to a right exact functor defined on the whole category. Next those results are used to define various functors of generalized tensor induction, associated to finite bisets, between categories attached to finite groups. This includes a definition of tensor induction for Mackey functors, for cohomological Mackey functors, for p-permutation modules and algebras. This also gives a single formalism of bisets for restriction, inflation, and ordinary tensor induction for modules.

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians

Stratified Lie Groups and Potential Theory for Their Sub-Laplacians PDF Author: Andrea Bonfiglioli
Publisher: Springer Science & Business Media
ISBN: 3540718974
Category : Mathematics
Languages : en
Pages : 812

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Book Description
This book provides an extensive treatment of Potential Theory for sub-Laplacians on stratified Lie groups. It also provides a largely self-contained presentation of stratified Lie groups, and of their Lie algebra of left-invariant vector fields. The presentation is accessible to graduate students and requires no specialized knowledge in algebra or differential geometry.

Modern Methods in Complex Analysis (AM-137), Volume 137

Modern Methods in Complex Analysis (AM-137), Volume 137 PDF Author: Thomas Bloom
Publisher: Princeton University Press
ISBN: 1400882575
Category : Mathematics
Languages : en
Pages : 360

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Book Description
The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Mathematical Problems and Methods of Hydrodynamic Weather Forecasting

Mathematical Problems and Methods of Hydrodynamic Weather Forecasting PDF Author: Vladimir Gordin
Publisher: CRC Press
ISBN: 9789056991647
Category : Mathematics
Languages : en
Pages : 846

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Book Description
The material provides an historical background to forecasting developments as well as introducing recent advances. The book will be of interest to both mathematicians and physicians, the topics covered include equations of dynamical meteorology, first integrals, non-linear stability, well-posedness of boundary problems, non-smooth solutions, parameters and free oscillations, meteorological data processing, methods of approximation and interpolation and numerical methods for forecast modelling.