1.

Record Nr.

UNISA996466653603316

Autore

Krylov N. V (Nikolaĭ Vladimirovich)

Titolo

Stochastic PDE's and Kolmogorov equations in infinite dimensions : lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, August 24 - September 1, 1998 / / N. V. Krylov, M. Rockner, J. Zabczyk ; editor, G. Da Prato

Pubbl/distr/stampa

©1999

Berlin : , : Springer, , [1999]

ISBN

3-540-48161-3

Edizione

[1st ed. 1999.]

Descrizione fisica

1 online resource (XII, 244 p.)

Collana

Lecture notes in mathematics (Springer-Verlag) ; ; 1715

Disciplina

519.2

Soggetti

Stochastic partial differential equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

N.V. Krylov: On Kolmogorov's equations for finite dimensional diffusions: Solvability of Ito's stochastic equations; Markov property of solution; Conditional version of Kolmogorov's equation; Differentiability of solutions of stochastic equations with respect to initial data; Kolmogorov's equations in the whole space; Some Integral approximations of differential operators; Kolmogorov's equations in domains -- M. Roeckner: LP-analysis of finite and infinite dimensional diffusion operators: Solution of Kolmogorov equations via sectorial forms; Symmetrizing measures; Non-sectorial cases: perturbations by divergence free vector fields; Invariant measures: regularity, existence and uniqueness; Corresponding diffusions and relation to Martingale problems -- J. Zabczyk: Parabolic equations on Hilbert spaces: Heat equation; Transition semigroups; Heat equation with a first order term; General parabolic equations; Regularity and Quiqueness; Parabolic equations in open sets; Applications.

Sommario/riassunto

Kolmogorov equations are second order parabolic equations with a finite or an infinite number of variables. They are deeply connected with stochastic differential equations in finite or infinite dimensional spaces. They arise in many fields as Mathematical Physics, Chemistry and Mathematical Finance. These equations can be studied both by



probabilistic and by analytic methods, using such tools as Gaussian measures, Dirichlet Forms, and stochastic calculus. The following courses have been delivered: N.V. Krylov presented Kolmogorov equations coming from finite-dimensional equations, giving existence, uniqueness and regularity results. M. Röckner has presented an approach to Kolmogorov equations in infinite dimensions, based on an LP-analysis of the corresponding diffusion operators with respect to suitably chosen measures. J. Zabczyk started from classical results of L. Gross, on the heat equation in infinite dimension, and discussed some recent results.

2.

Record Nr.

UNINA9910779439903321

Autore

Vischer Robert K.

Titolo

Martin Luther King Jr. and the morality of legal practice : lessons in love and justice / / Robert K. Vischer [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2013

ISBN

1-139-61110-0

1-107-23768-8

1-139-61296-4

1-139-60929-7

1-139-61668-4

1-139-62598-5

1-139-38135-0

1-283-87066-5

1-139-62226-9

Descrizione fisica

1 online resource (x, 316 pages) : digital, PDF file(s)

Disciplina

174/.30973

Soggetti

Lawyers - United States

Law - Moral and ethical aspects - United States

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Human dignity : lawyers as (more than) technicians -- Agape : lawyers as subjects -- Personalism : lawyers as healers -- Justice : lawyers as



prophets -- Realism : lawyers as fallen.

Sommario/riassunto

This book seeks to reframe our understanding of the lawyer's work by exploring how Martin Luther King, Jr built his advocacy on a coherent set of moral claims regarding the demands of love and justice in light of human nature. King never shirked from staking out challenging claims of moral truth, even while remaining open to working with those who rejected those truths. His example should inspire the legal profession as a reminder that truth-telling, even in a society that often appears morally balkanized, has the capacity to move hearts and minds. At the same time, his example should give the profession pause, for King's success would have been impossible without his substantive views about human nature and the ends of justice. This book is an effort to reframe our conception of morality's relevance to professionalism through the lens provided by the public and prophetic advocacy of Dr King.