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Integro-Differential Elliptic Equations
Zusammenfassung: This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality. The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutio...
The obstacle problem
The material presented here corresponds to Fermi lectures that I was invited to deliver at the Scuola Normale di Pisa in the spring of 1998. The obstacle problem consists in studying the properties of minimizers of the Dirichlet integral in a domain D of Rn, among all those configurations u with prescribed boundary values and costrained to remain in D above a prescribed obstacle F. In the Hilbert space H1(D) of all those functions with square integrable gradient, we consider the closed convex set K of functions u with fixed boundary value and which are greater than F in D. There is a unique point in K minimizing the Dirichlet integral. That is called the solution to the obstacle problem.
Analysis at Large
Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in this book include Bourgain’s discretized sum-product theorem, his work in nonlinear dispersive equations, the slicing problem by Bourgain, harmonious sets, the joint spectral radius, equidistribution of affine random walks, Cartan covers and doubling Bernstein type inequalities, a weighted Prékop...
Integro-Differential Elliptic Equations
This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in fields such as analysis, probability theory, mathematical physics, and in several contexts in the applied sciences. The work gives a detailed presentation of all the necessary techniques, with a primary focus on the main ideas rather than on proving all the results in their greatest generality. The basic building blocks are presented first, with the study of the square root of the Laplacian, and weak solutions to linear equations. Subsequently, the theory of viscosity solutions to nonlinear e...
Japan's Nuclear Disaster and the Politics of Safety Governance
In Japan's Nuclear Disaster and the Politics of Safety Governance, Florentine Koppenborg argues that the regulatory reforms taken up in the wake of the Fukushima disaster on March 11, 2011, directly and indirectly raised the costs of nuclear power in Japan. The Nuclear Regulation Authority resisted capture by the nuclear industry and fundamentally altered the environment for nuclear policy implementation. Independent safety regulation changed state-business relations in the nuclear power domain from regulatory capture to top-down safety regulation, which raised technical safety costs for electric utilities. Furthermore, the safety agency's extended emergency preparedness regulations expanded...
Deploying the European Green Deal
Drawing on a range of expert contributions, this book explores how the European Green Deal is being deployed in practice and observes how the EU tries to promote the protection of the environment in third countries. This book begins by assessing the state of the art in terms of the key conceptual issues and analyses sectoral initiatives that are particularly relevant for the deployment of the European Green Deal external dimensions. These include the Carbon Border Adjustment Mechanism, the EU’s regulatory action in the control of maritime emissions, the 2030 Biodiversity Strategy, the Deforestation Initiative, the Zero Pollution Initiative, the From Farm to Fork Initiative, and the Climate...
Accountability and Regulatory Governance
This collection improves our understanding of the problems associated to accountability in regulatory governance, focusing on audiences, controls and responsibilities in the politics of regulation and through a systematic exploration of the various mechanisms through which accountability in regulatory governance
Microwave-assisted Extraction for Bioactive Compounds
With increasing energy prices and the drive to reduce CO2 emissions, food industries are challenged to find new technologies in order to reduce energy consumption, to meet legal requirements on emissions, product/process safety and control, and for cost reduction and increased quality as well as functionality. Extraction is one of the promising innovation themes that could contribute to sustainable growth in the chemical and food industries. For example, existing extraction technologies have considerable technological and scientific bottlenecks to overcome, such as often requiring up to 50% of investments in a new plant and more than 70% of total process energy used in food, fine chemicals a...
