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Theorems on Regularity and Singularity of Energy Minimizing Maps
  • Language: en
  • Pages: 152
Complex Analysis
  • Language: en
  • Pages: 353

Complex Analysis

This volume presents the proceedings of a conference on Several Complex Variables, PDE’s, Geometry, and their interactions held in 2008 at the University of Fribourg, Switzerland, in honor of Linda Rothschild.

Theorems on Regularity and Singularity of Energy Minimizing Maps
  • Language: en
  • Pages: 166

Theorems on Regularity and Singularity of Energy Minimizing Maps

The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus of variations is not required; a good general background in mathematical analysis would be adequate preparation.

The P-harmonic System with Measure Valued Right Hand Side
  • Language: en
  • Pages: 20

The P-harmonic System with Measure Valued Right Hand Side

  • Type: Book
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  • Published: 1995
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  • Publisher: Unknown

None

Theorems on Regularity and Singularity of Energy Minimizing Maps
  • Language: en
  • Pages: 160

Theorems on Regularity and Singularity of Energy Minimizing Maps

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

The aim of these lecture notes is to give an essentially self-contained introduction to the basic regularity theory for energy minimizing maps, including recent developments concerning the structure of the singular set and asymptotics on approach to the singular set. Specialized knowledge in partial differential equations or the geometric calculus of variations is not required; a good general background in mathematical analysis would be adequate preparation.

The Ring of Polyfunctions
  • Language: en
  • Pages: 22

The Ring of Polyfunctions

We study the ring of polyfunctions over a commutative ring R with unit element. The function S generalizes the number theoretic Smarandache function. For the ring R = Z/nZ we provide a unique representation of polynomials which vanish as a function. Moreover we derive a new formula for the size of the ring of polyfunctions in several variables over Z/nZ.

Variational Problems in Riemannian Geometry
  • Language: en
  • Pages: 158

Variational Problems in Riemannian Geometry

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.

Evolution Equations, Semigroups and Functional Analysis
  • Language: en
  • Pages: 404

Evolution Equations, Semigroups and Functional Analysis

  • Type: Book
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  • Published: 2012-12-06
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  • Publisher: Birkhäuser

Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.

Dominating Sequence In Neutrosophic SuperHyperGraphs
  • Language: en
  • Pages: 694

Dominating Sequence In Neutrosophic SuperHyperGraphs

[ADDRESSED CITATION] [HG195b] Henry Garrett, “Dominating Sequence In Neutrosophic SuperHyperGraphs”. Dr. Henry Garrett, 2023 (doi: 10.5281/zenodo.10042973). In this scientific research book, there are some scientific research chapters on “Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs” and “Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs” about some scientific researches on Dominating Sequence In Neutrosophic SuperHyperGraphs by two (Extreme/Neutrosophic) notions, namely, Extreme Dominating Sequence In Neutrosophic SuperHyperGraphs and Neutrosophic Dominating Sequence In Neutrosophic SuperHyperGraphs. With scientific research on the basic scientifi...

Combinatorial Set Theory
  • Language: en
  • Pages: 449

Combinatorial Set Theory

This book provides a self-contained introduction to modern set theory and also opens up some more advanced areas of current research in this field. The first part offers an overview of classical set theory wherein the focus lies on the axiom of choice and Ramsey theory. In the second part, the sophisticated technique of forcing, originally developed by Paul Cohen, is explained in great detail. With this technique, one can show that certain statements, like the continuum hypothesis, are neither provable nor disprovable from the axioms of set theory. In the last part, some topics of classical set theory are revisited and further developed in the light of forcing. The notes at the end of each chapter put the results in a historical context, and the numerous related results and the extensive list of references lead the reader to the frontier of research. This book will appeal to all mathematicians interested in the foundations of mathematics, but will be of particular use to graduates in this field.