Author: Pekka AlestaloPublisher:
ISBN: 9789514107528
Category : Homotopy theory
Languages : en
Pages : 52
Book Description
Uniform Domains of Higher Order
Author: Pekka AlestaloPublisher:
ISBN: 9789514107528
Category : Homotopy theory
Languages : en
Pages : 52
Book Description
Uniform Domains of Higher Order
Author: Pekka AlestaloPublisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 54
Book Description
Uniform Domains of Higher Order III
Author: Pekka AlestatoMulti-Layer Potentials and Boundary Problems
Author: Irina MitreaPublisher: Springer
ISBN: 3642326668
Category : Mathematics
Languages : en
Pages : 430
Book Description
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 of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calderón, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach. This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney–Lebesque spaces, Whitney–Besov spaces, Whitney–Sobolev- based Lebesgue spaces, Whitney–Triebel–Lizorkin spaces,Whitney–Sobolev-based Hardy spaces, Whitney–BMO and Whitney–VMO spaces.
Hokkaido Mathematical Journal
Author: Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday
Author: Helge HoldenPublisher: American Mathematical Soc.
ISBN: 0821875744
Category : Mathematics
Languages : en
Pages : 409
Book Description
This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu
On Complex Differential Equations in the Unit Disc
Author: Janne HeittokangasPublisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 62
Book Description
Combinatorics of Curves on Hurwitz Surfaces
Author: Roger VogelerPublisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 46
Book Description
Annales Academiae Scientiarum Fennicae
Author: Parallel Computing is Everywhere
Author: S. BassiniPublisher: IOS Press
ISBN: 1614998434
Category : Computers
Languages : en
Pages : 852
Book Description
The most powerful computers work by harnessing the combined computational power of millions of processors, and exploiting the full potential of such large-scale systems is something which becomes more difficult with each succeeding generation of parallel computers. Alternative architectures and computer paradigms are increasingly being investigated in an attempt to address these difficulties. Added to this, the pervasive presence of heterogeneous and parallel devices in consumer products such as mobile phones, tablets, personal computers and servers also demands efficient programming environments and applications aimed at small-scale parallel systems as opposed to large-scale supercomputers. This book presents a selection of papers presented at the conference: Parallel Computing (ParCo2017), held in Bologna, Italy, on 12 to 15 September 2017. The conference included contributions about alternative approaches to achieving High Performance Computing (HPC) to potentially surpass exa- and zetascale performances, as well as papers on the application of quantum computers and FPGA processors. These developments are aimed at making available systems better capable of solving intensive computational scientific/engineering problems such as climate models, security applications and classic NP-problems, some of which cannot currently be managed by even the most powerful supercomputers available. New areas of application, such as robotics, AI and learning systems, data science, the Internet of Things (IoT), and in-car systems and autonomous vehicles were also covered. As always, ParCo2017 attracted a large number of notable contributions covering present and future developments in parallel computing, and the book will be of interest to all those working in the field.