This book presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its applications, particularly to metric fixed point theory. Suitable for readers interested in nonlinear analysis, metric fixed point theory...Loe edasi...
Bornologies are a useful tool in studying problems in mathematical analysis and general topology. For example, they can be used to characterize those metric spaces on which the real-valued uniformly continuous functions are stable under pointwise...Loe edasi...
In this article we provide conditions on the coefficient functions of the stochastic differential equation and on p ? (0, ?) that are sufficient for local Lipschitz continuity in the strong Lp-sense with respect to the initial value and we establish...Loe edasi...
This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subs...Loe edasi...
Christian Düll, Piotr Gwiazda, Anna Marciniak-Czochra, Jakub Skrzeczkowski
Sari: Cambridge Monographs on Applied and Computational Mathematics
(Ilmumisaeg: 07-Oct-2021, Hardback, Kirjastus: Cambridge University Press, ISBN-13: 9781316519103)
Structured population models are transport-type equations often applied to describe evolution of heterogeneous populations of biological cells, animals or humans, including phenomena such as crowd dynamics or pedestrian flows. This book introduces th...Loe edasi...
This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the nece...Loe edasi...
Jaye and colleagues characterize the non-negative locally finite non-atomic Borel measures in Rd for which the associated s-Riesz transform is bounded in L2(µ) in terms of the Wolff energy. This extends the range of s in which the Mateu-Prat-Verd...Loe edasi...
Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point...Loe edasi...
The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz funct...Loe edasi...
(Ilmumisaeg: 29-Jun-2018, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814740630)
This is the standard reference on algebras of Lipschitz functions, written by the leading figure in the field. The second edition includes new chapters on nonlinear Banach space geometry, differentiability in metric measure spaces, and quantum metric...Loe edasi...
Gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative d-torus \mathbb{T}^d_\theta (with \theta a skew symmetric real d\times d-matrix). These spaces share many properties with their classical counterparts...Loe edasi...
Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed poin...Loe edasi...
(Ilmumisaeg: 26-Jun-2013, Multiple-component retail product, Kirjastus: Walter de Gruyter & Co, ISBN-13: 9783119166225)
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Embeddings of discrete metric spaces into Banach spaces became an important tool in computer science and topology. This book helps readers to enter and to work in this developing area that has many important connections with different parts of mathe...Loe edasi...
(Ilmumisaeg: 18-Jun-2013, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783110263404)
Embeddings of discrete metric spaces into Banach spaces has become an important tool in computer science and topology, says Ostovskii (mathematics and computer science, St. Johns U., New York City), and he presents some of the most important techniq...Loe edasi...
(Ilmumisaeg: 05-Jan-2013, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783642326653)
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety...Loe edasi...
(Ilmumisaeg: 26-Feb-2012, Hardback, Kirjastus: Princeton University Press, ISBN-13: 9780691153551)
This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets...Loe edasi...
This book makes a significant inroad into the unexpectedly difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets...Loe edasi...