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# đź“™ Uniqueness and Non-Uniqueness of Semigroups Generated by Singular Diffusion Operators by Andreas Eberle (auth.) â€” download pdf

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This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a second order linear differential operator without zeroth order term, which is a priori defined on test functions over some (finite or infinite dimensional) state space only, uniquely determines a strongly continuous semigroup on a corresponding weighted Lp space. Particular emphasis is placed on phenomena causing non-uniqueness, as well as on the relation between different notions of uniqueness appearing in analytic and probabilistic contexts.

- Series:
**Lecture Notes in Mathematics 1718** - Author:
**Andreas Eberle (auth.)** - Year:
**1999** - Publisher:
**Springer-Verlag Berlin Heidelberg** - Language:
**English** - ISBN:
**9783540666288,3-540-66628-1**

- File size:
**1 919 304** - Format:
**djvu**

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This book addresses both probabilists working on diffusion processes and analysts interested in linear parabolic partial differential equations with singular coefficients. The central question discussed is whether a given diffusion operator, i.e., a secon...

This book presents a systematic investigation of the theory of those commutative, unital subalgebras (of bounded linear operators acting in a Banach space) which are closed for some given topology and are generated by a uniformly bounded Boolean algebra o...

PLEASE USE THE FILE BACK COVER!Knowledge can be modelled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This m...

PLEASE USE THE FILE BACK COVER!Knowledge can be modelled and computed using computational mathematical methods, then lead to real world conclusions. The strongly related to that Computational Analysis is a very large area with lots of applications. This m...

This volume presents the proceedings of the Joint German-Israeli Workshop on linear one-dimensional singular integral equations, held in Tel Aviv from March 1â€“10, 1995. The volume contains a selection of papers in modern operator theory and its applicatio...

We've all lived through long hot summers with power shortages, brownouts, and blackouts. But at last, all the what-to-do and how-to-do it information you'll need to handle a full range of operation and maintenance tasks at your fingertips. Written by a po...

The foundation for an algebraic theory of binary relations was laid by De Morgan, Peirce, and Schroder during the second half of the nineteenth century. Modern development of the subject as a theory of abstract algebras, called 'relation algebras', was un...

This monograph develops the spectral theory of an $n$th order non-self-adjoint two-point differential operator $L$ in the Hilbert space $L^2[0,1]$. The mathematical foundation is laid in the first part, where the spectral theory is developed for closed li...

This book presents an operator-theoretic approach to ill-posed evolution equations. It presents the basic theory, and the more surprising examples, of generalizations of strongly continuous semigroups known as 'existent families' and 'regularized semigrou...

A thoroughly up-to-date resource on IEEE 802 wireless standards Readers can turn to this book for complete coverage of the current and emerging IEEE 802 wireless standards/drafts, including: 802.11 Wireless LANs 802....

Today, the information systems (IS) discipline faces new challenges. Emerging technologies as well as matured approaches for the social, technical, and developmental role of IS provide a new context for the evolution of the discipline over the next few ye...

Private sector unionism is in decline in the United States. As a result, labor advocates, community groups, nongovernmental organizations, and individuals concerned with the well-being of workers have sought to develop alternative ways to represent worker...

A highly skilled workforce is essential to the success of today's companies and their overall economic competitiveness in the global marketplace. By anticipating and proactively responding to future workforce demands, community and technical college curri...

Project infrastructure and software repositories are now widely available at low cost with easy extraction, providing a foundational base to conduct detailed cyber-archeology at a scale not open to researchers before. Emerging Free and Open Source Softwar...

The essays continue a dialogue between the New England of Emerson and the New York milieu of the early 1930s. The New York dialogue flourished among inÂtellectuals simultaneously concerned with the political consequences of liberÂalism and Marxism and wit...

Emergency Triage: Telephone Triage and Advice complements the highly successful Emergency Triage. The algorithms are rooted in the Manchester Triage System (MTS), which is used in hospitals around the world and which is acknowledged as an effective means ...