The Dirichlet Problem For Parabolic Operators With Singular Drift Terms

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The Dirichlet Problem For Parabolic Operators With Singular Drift Terms

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Author : Steve Hofmann
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

The Dirichlet Problem For Parabolic Operators With Singular Drift Terms written by Steve Hofmann 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 2001 with Mathematics categories.

This memoir considers the Dirichlet problem for parabolic operators in a half space with singular drift terms. Chapter I begins the study of a parabolic PDE modelled on the pullback of the heat equation in certain time varying domains considered by Lewis-Murray and Hofmann-Lewis. Chapter II obtains mutual absolute continuity of parabolic measure and Lebesgue measure on the boundary of this halfspace and also that the $L DEGREESq(R DEGREESn)$ Dirichlet problem for these PDEs has a solution when $q$ is large enough. Chapter III proves an analogue of a theorem of Fefferman, Kenig, and Pipher for certain parabolic PDEs with singular drift terms. Each of the chapters that comprise this memoir has its own numbering system and list

The Dirichlet Problem For Parabolic Operators With Singular Drift Terms

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Author : Steve Hofmann
language : en
Publisher:
Release Date : 2014-09-11

The Dirichlet Problem For Parabolic Operators With Singular Drift Terms written by Steve Hofmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Dirichlet problem categories.

The Dirichlet problem and parabolic measure Absolute continuity and the $L^p$ Dirichlet problem: Part 1 Absolute continuity and the $L^p$ Dirichlet problem: Part 2.

Smooth Molecular Decompositions Of Functions And Singular Integral Operators

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Author : John E. Gilbert
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Smooth Molecular Decompositions Of Functions And Singular Integral Operators written by John E. Gilbert 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 2002 with Mathematics categories.

Under minimal assumptions on a function $\psi$ the authors obtain wavelet-type frames of the form $\psi_{j, k}(x) = r DEGREES{(1/2)n j} \psi(r DEGREESj x - sk), j \in \integer, k \in \integer DEGREESn, $ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in ter

Regularity Estimates For Nonlinear Elliptic And Parabolic Problems

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Author : John Lewis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-03-02

Regularity Estimates For Nonlinear Elliptic And Parabolic Problems written by John Lewis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-02 with Mathematics categories.

The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advances made it still remains a very fruitful research field. In particular considerable strides have been made in regularity estimates for degenerate and singular elliptic and parabolic equations over the last several years, and in many unexpected and challenging directions. Because of all these recent results, it seemed high time to create an overview that would highlight emerging trends and issues in this fascinating research topic in a proper and effective way. The course aimed to show the deep connections between these topics and to open new research directions through the contributions of leading experts in all of these fields.

Sub Laplacians With Drift On Lie Groups Of Polynomial Volume Growth

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Author : Georgios K. Alexopoulos
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Sub Laplacians With Drift On Lie Groups Of Polynomial Volume Growth written by Georgios K. Alexopoulos 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 2002 with Mathematics categories.

This work is intended for graduate students and research mathematicians interested in topological groups, Lie groups, and harmonic analysis.

Approximation And Entropy Numbers Of Volterra Operators With Application To Brownian Motion

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Author : Mikhail Anatolʹevich Lifshit︠s︡
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Approximation And Entropy Numbers Of Volterra Operators With Application To Brownian Motion written by Mikhail Anatolʹevich Lifshit︠s︡ 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 2002 with Computers categories.

This text considers a specific Volterra integral operator and investigates its degree of compactness in terms of properties of certain kernel functions. In particular, under certain optimal integrability conditions the entropy numbers $e_n(T_{\rho, \psi})$ satisfy $c_1\norm{\rho\psi}_r0$.

Elliptic Partial Differential Operators And Symplectic Algebra

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Author : William Norrie Everitt
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Elliptic Partial Differential Operators And Symplectic Algebra written by William Norrie Everitt 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 2003 with Mathematics categories.

This investigation introduces a new description and classification for the set of all self-adjoint operators (not just those defined by differential boundary conditions) which are generated by a linear elliptic partial differential expression $A(\mathbf{x}, D)=\sum_{0\, \leq\, \left s\right \, \leq\,2m}a_{s} (\mathbf{x})D DEGREES{s}\;\text{for all}\;\mathbf{x}\in\Omega$ in a region $\Omega$, with compact closure $\overline{\Omega}$ and $C DEGREES{\infty }$-smooth boundary $\partial\Omega$, in Euclidean space $\mathbb{E} DEGREES{r}$ $(r\geq2).$ The order $2m\geq2$ and the spatial dimensio

Singular Quasilinearity And Higher Eigenvalues

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Author : Victor Lenard Shapiro
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Singular Quasilinearity And Higher Eigenvalues written by Victor Lenard Shapiro 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 2001 with Mathematics categories.

This book is intended for graduate students and research mathematicians interested in partial differential equations.

Spectral Decomposition Of A Covering Of Gl R The Borel Case

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Author : Heng Sun
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Spectral Decomposition Of A Covering Of Gl R The Borel Case written by Heng Sun 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 2002 with Mathematics categories.

Let $F$ be a number field and ${\bf A}$ the ring of adeles over $F$. Suppose $\overline{G({\bf A})}$ is a metaplectic cover of $G({\bf A})=GL(r, {\bf A})$ which is given by the $n$-th Hilbert symbol on ${\bf A}$

Basic Global Relative Invariants For Homogeneous Linear Differential Equations

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Author : Roger Chalkley
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Basic Global Relative Invariants For Homogeneous Linear Differential Equations written by Roger Chalkley 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 2002 with Mathematics categories.

Given any fixed integer $m \ge 3$, the author presents simple formulas for $m - 2$ algebraically independent polynomials over $\mathbb{Q}$ having the remarkable property, with respect to transformations of homogeneous linear differential equations of order $m$, that each polynomial is both a semi-invariant of the first kind (with respect to changes of the dependent variable) and a semi-invariant of the second kind (with respect to changes of the independent variable). These relative invariants are suitable for global studies in several different contexts and do not require Laguerre-Forsyth reductions for their evaluation. In contrast, all of the general formulas for basic relative invariants that have been proposed by other researchers during the last 113 years are merely local ones that are either much too complicated or require a Laguerre-Forsyth reduction for each evaluation.