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Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation


Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation
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Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation


Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation
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Author : Benoît Mselati
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-09-11

Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation written by Benoît Mselati and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-11 with Differential equations, Elliptic categories.


An analytic approach to the equation $\Delta u = u^2$ A probabilistic approach to the equation $\Delta u = u^2$ Lower bounds for solutions Upper bounds for solutions The classification and representation of the solutions of $\Delta u = u^2$ in a domain Appendix A. Technical results Appendix. Bibliography Notation index Subject index.



Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation


Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation
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Author : Benoît Mselati
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Classification And Probabilistic Representation Of The Positive Solutions Of A Semilinear Elliptic Equation written by Benoît Mselati 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 2004 with Mathematics categories.


Concerned with the nonnegative solutions of $\Delta u = u^2$ in a bounded and smooth domain in $\mathbb{R}^d$, this title intends to prove that they are uniquely determined by their fine trace on the boundary as defined in [DK98a], answering a major open question of [Dy02].



Perspectives In Nonlinear Partial Differential Equations


Perspectives In Nonlinear Partial Differential Equations
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Author : Henri Berestycki
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Perspectives In Nonlinear Partial Differential Equations written by Henri Berestycki 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 2007 with Mathematics categories.


In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges.



Superdiffusions And Positive Solutions Of Nonlinear Partial Differential Equations


Superdiffusions And Positive Solutions Of Nonlinear Partial Differential Equations
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Author : Evgeniĭ Borisovich Dynkin
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Superdiffusions And Positive Solutions Of Nonlinear Partial Differential Equations written by Evgeniĭ Borisovich Dynkin 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 2004 with Mathematics categories.


This book is devoted to the applications of probability theory to the theory of nonlinear partial differential equations. More precisely, it is shown that all positive solutions for a class of nonlinear elliptic equations in a domain are described in terms of their traces on the boundary of the domain. The main probabilistic tool is the theory of superdiffusions, which describes a random evolution of a cloud of particles. A substantial enhancement of this theory is presented that will be of interest to anyone who works on applications of probabilistic methods to mathematical analysis. The book is suitable for graduate students and research mathematicians interested in probability theory and its applications to differential equations. Also of interest by this author is Diffusions, Superdiffusions and Partial Differential Equations in the AMS series, Colloquium Publications.



Holder Continuity Of Weak Solutions To Subelliptic Equations With Rough Coefficients


Holder Continuity Of Weak Solutions To Subelliptic Equations With Rough Coefficients
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Author : Eric T. Sawyer
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Holder Continuity Of Weak Solutions To Subelliptic Equations With Rough Coefficients written by Eric T. Sawyer 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 2006 with Mathematics categories.


This mathematical monograph is a study of interior regularity of weak solutions of second order linear divergence form equations with degenerate ellipticity and rough coefficients. The authors show that solutions of large classes of subelliptic equations with bounded measurable coefficients are H lder continuous. They present two types of results f



Shock Wave Solutions Of The Einstein Equations With Perfect Fluid Sources Existence And Consistency By A Locally Inertial Glimm Scheme


Shock Wave Solutions Of The Einstein Equations With Perfect Fluid Sources Existence And Consistency By A Locally Inertial Glimm Scheme
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Author : Jeff Groah
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Shock Wave Solutions Of The Einstein Equations With Perfect Fluid Sources Existence And Consistency By A Locally Inertial Glimm Scheme written by Jeff Groah 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 2004 with Mathematics categories.


Demonstrates the consistency of the Einstein equations at the level of shock-waves by proving the existence of shock wave solutions of the spherically symmetric Einstein equations for a perfect fluid, starting from initial density and velocity profiles that are only locally of bounded total variation.



Equivalences Of Classifying Spaces Completed At The Prime Two


Equivalences Of Classifying Spaces Completed At The Prime Two
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Author : Robert Oliver
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Equivalences Of Classifying Spaces Completed At The Prime Two written by Robert Oliver 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 2006 with Mathematics categories.


We prove here the Martino-Priddy conjecture at the prime $2$: the $2$-completions of the classifying spaces of two finite groups $G$ and $G'$ are homotopy equivalent if and only if there is an isomorphism between their Sylow $2$-subgroups which preserves fusion. This is a consequence of a technical algebraic result, which says that for a finite group $G$, the second higher derived functor of the inverse limit vanishes for a certain functor $\mathcal{Z}_G$ on the $2$-subgroup orbit category of $G$. The proof of this result uses the classification theorem for finite simple groups.



Twisted Tensor Products Related To The Cohomology Of The Classifying Spaces Of Loop Groups


Twisted Tensor Products Related To The Cohomology Of The Classifying Spaces Of Loop Groups
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Author : Katsuhiko Kuribayashi
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Twisted Tensor Products Related To The Cohomology Of The Classifying Spaces Of Loop Groups written by Katsuhiko Kuribayashi 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 2006 with Mathematics categories.


Let $G$ be a compact, simply connected, simple Lie group. By applying the notion of a twisted tensor product in the senses of Brown as well as of Hess, we construct an economical injective resolution to compute, as an algebra, the cotorsion product which is the $E_2$-term of the cobar type Eilenberg-Moore spectral sequence converging to the cohomology of classifying space of the loop group $LG$. As an application, the cohomology $H^*(BLSpin(10); \mathbb{Z}/2)$ is explicitly determined as an $H^*(BSpin(10); \mathbb{Z}/2)$-module by using effectively the cobar type spectral sequence and the Hochschild spectral sequence, and further, by analyzing the TV-model for $BSpin(10)$.



Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness


Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness
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Author : Lee Klingler
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Representation Type Of Commutative Noetherian Rings Iii Global Wildness And Tameness written by Lee Klingler 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 2005 with Mathematics categories.


This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring $\Lambda$, either the category of $\Lambda$-modules of finite length has wild representation type or else we can describe the category of finitely generated $\Lambda$-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)



The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups


The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups
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Author : Martin W. Liebeck
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

The Maximal Subgroups Of Positive Dimension In Exceptional Algebraic Groups written by Martin W. Liebeck 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 2004 with Mathematics categories.


Intends to complete the determination of the maximal subgroups of positive dimension in simple algebraic groups of exceptional type over algebraically closed fields. This title follows work of Dynkin, who solved the problem in characteristic zero, and Seitz who did likewise over fields whose characteristic is not too small.